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Finding the Fourth Proportional to 1,695.28, 2,542.25 and 654.71

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Solution

The fourth proportional to 1,695.28, 2,542.25 and 654.71 is: 981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.28 : 2,542.25 = 654.71 : x
  2. Step 2: Convert to fraction form
    1,695.28/2,542.25 = 654.71/x
  3. Step 3: Cross multiply
    1,695.28x = 2,542.25 × 654.71
  4. Step 4: Simplify right side
    1,695.28x = 1,664,436.50
  5. Step 5: Solve for x
    x = 1,664,436.50/1,695.28
  6. Step 6: Final answer
    x = 981.81

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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.