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Finding the Fourth Proportional to 1,508.71, 2,082.04 and 845.57

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Solution

The fourth proportional to 1,508.71, 2,082.04 and 845.57 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.71 : 2,082.04 = 845.57 : x
  2. Step 2: Convert to fraction form
    1,508.71/2,082.04 = 845.57/x
  3. Step 3: Cross multiply
    1,508.71x = 2,082.04 × 845.57
  4. Step 4: Simplify right side
    1,508.71x = 1,760,510.56
  5. Step 5: Solve for x
    x = 1,760,510.56/1,508.71
  6. Step 6: Final answer
    x = 1,166.90

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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.