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Finding the Fourth Proportional to 1,784.48, 2,463.26 and 1,597.63

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Solution

The fourth proportional to 1,784.48, 2,463.26 and 1,597.63 is: 2,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.48 : 2,463.26 = 1,597.63 : x
  2. Step 2: Convert to fraction form
    1,784.48/2,463.26 = 1,597.63/x
  3. Step 3: Cross multiply
    1,784.48x = 2,463.26 × 1,597.63
  4. Step 4: Simplify right side
    1,784.48x = 3,935,378.07
  5. Step 5: Solve for x
    x = 3,935,378.07/1,784.48
  6. Step 6: Final answer
    x = 2,205.34

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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.