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Finding the Fourth Proportional to 1,569.17, 2,354.40 and 691.20

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Solution

The fourth proportional to 1,569.17, 2,354.40 and 691.20 is: 1,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.17 : 2,354.40 = 691.20 : x
  2. Step 2: Convert to fraction form
    1,569.17/2,354.40 = 691.20/x
  3. Step 3: Cross multiply
    1,569.17x = 2,354.40 × 691.20
  4. Step 4: Simplify right side
    1,569.17x = 1,627,361.28
  5. Step 5: Solve for x
    x = 1,627,361.28/1,569.17
  6. Step 6: Final answer
    x = 1,037.08

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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.