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Finding the Fourth Proportional to 2,082.54, 3,124.88 and 1,510.14

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Solution

The fourth proportional to 2,082.54, 3,124.88 and 1,510.14 is: 2,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.54 : 3,124.88 = 1,510.14 : x
  2. Step 2: Convert to fraction form
    2,082.54/3,124.88 = 1,510.14/x
  3. Step 3: Cross multiply
    2,082.54x = 3,124.88 × 1,510.14
  4. Step 4: Simplify right side
    2,082.54x = 4,719,006.28
  5. Step 5: Solve for x
    x = 4,719,006.28/2,082.54
  6. Step 6: Final answer
    x = 2,265.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.