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Finding the Fourth Proportional to 2,082.46, 3,127.74 and 1,532.47

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Solution

The fourth proportional to 2,082.46, 3,127.74 and 1,532.47 is: 2,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.46 : 3,127.74 = 1,532.47 : x
  2. Step 2: Convert to fraction form
    2,082.46/3,127.74 = 1,532.47/x
  3. Step 3: Cross multiply
    2,082.46x = 3,127.74 × 1,532.47
  4. Step 4: Simplify right side
    2,082.46x = 4,793,167.72
  5. Step 5: Solve for x
    x = 4,793,167.72/2,082.46
  6. Step 6: Final answer
    x = 2,301.69

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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.