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Finding the Fourth Proportional to 1,569.47, 2,354.24 and 875.75

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Solution

The fourth proportional to 1,569.47, 2,354.24 and 875.75 is: 1,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.47 : 2,354.24 = 875.75 : x
  2. Step 2: Convert to fraction form
    1,569.47/2,354.24 = 875.75/x
  3. Step 3: Cross multiply
    1,569.47x = 2,354.24 × 875.75
  4. Step 4: Simplify right side
    1,569.47x = 2,061,716.10
  5. Step 5: Solve for x
    x = 2,061,716.10/1,569.47
  6. Step 6: Final answer
    x = 1,313.64

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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.