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Finding the Fourth Proportional to 1,853.41, 2,780.12 and 757.01

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Solution

The fourth proportional to 1,853.41, 2,780.12 and 757.01 is: 1,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.41 : 2,780.12 = 757.01 : x
  2. Step 2: Convert to fraction form
    1,853.41/2,780.12 = 757.01/x
  3. Step 3: Cross multiply
    1,853.41x = 2,780.12 × 757.01
  4. Step 4: Simplify right side
    1,853.41x = 2,104,566.63
  5. Step 5: Solve for x
    x = 2,104,566.63/1,853.41
  6. Step 6: Final answer
    x = 1,135.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.