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Finding the Fourth Proportional to 1,508.72, 2,082.15 and 870.87

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Solution

The fourth proportional to 1,508.72, 2,082.15 and 870.87 is: 1,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.72 : 2,082.15 = 870.87 : x
  2. Step 2: Convert to fraction form
    1,508.72/2,082.15 = 870.87/x
  3. Step 3: Cross multiply
    1,508.72x = 2,082.15 × 870.87
  4. Step 4: Simplify right side
    1,508.72x = 1,813,281.97
  5. Step 5: Solve for x
    x = 1,813,281.97/1,508.72
  6. Step 6: Final answer
    x = 1,201.87

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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.