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Finding the Fourth Proportional to 1,853.63, 2,558.01 and 1,025.63

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Solution

The fourth proportional to 1,853.63, 2,558.01 and 1,025.63 is: 1,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.63 : 2,558.01 = 1,025.63 : x
  2. Step 2: Convert to fraction form
    1,853.63/2,558.01 = 1,025.63/x
  3. Step 3: Cross multiply
    1,853.63x = 2,558.01 × 1,025.63
  4. Step 4: Simplify right side
    1,853.63x = 2,623,559.01
  5. Step 5: Solve for x
    x = 2,623,559.01/1,853.63
  6. Step 6: Final answer
    x = 1,415.37

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Half scale
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Double scale
Find fourth proportional to 1,854.63, 2,559.39 and 1,026.63
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.