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Finding the Fourth Proportional to 1,569.17, 2,165.43 and 861.03

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Solution

The fourth proportional to 1,569.17, 2,165.43 and 861.03 is: 1,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.17 : 2,165.43 = 861.03 : x
  2. Step 2: Convert to fraction form
    1,569.17/2,165.43 = 861.03/x
  3. Step 3: Cross multiply
    1,569.17x = 2,165.43 × 861.03
  4. Step 4: Simplify right side
    1,569.17x = 1,864,500.19
  5. Step 5: Solve for x
    x = 1,864,500.19/1,569.17
  6. Step 6: Final answer
    x = 1,188.21

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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.