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Finding the Fourth Proportional to 1,565.17, 2,160.87 and 1,093.88

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Solution

The fourth proportional to 1,565.17, 2,160.87 and 1,093.88 is: 1,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.17 : 2,160.87 = 1,093.88 : x
  2. Step 2: Convert to fraction form
    1,565.17/2,160.87 = 1,093.88/x
  3. Step 3: Cross multiply
    1,565.17x = 2,160.87 × 1,093.88
  4. Step 4: Simplify right side
    1,565.17x = 2,363,732.48
  5. Step 5: Solve for x
    x = 2,363,732.48/1,565.17
  6. Step 6: Final answer
    x = 1,510.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.