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Finding the Fourth Proportional to 1,569.12, 2,352.42 and 866.28

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Solution

The fourth proportional to 1,569.12, 2,352.42 and 866.28 is: 1,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.12 : 2,352.42 = 866.28 : x
  2. Step 2: Convert to fraction form
    1,569.12/2,352.42 = 866.28/x
  3. Step 3: Cross multiply
    1,569.12x = 2,352.42 × 866.28
  4. Step 4: Simplify right side
    1,569.12x = 2,037,854.40
  5. Step 5: Solve for x
    x = 2,037,854.40/1,569.12
  6. Step 6: Final answer
    x = 1,298.72

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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.