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Finding the Fourth Proportional to 2,516.44, 3,773.19 and 760.92

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Solution

The fourth proportional to 2,516.44, 3,773.19 and 760.92 is: 1,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.44 : 3,773.19 = 760.92 : x
  2. Step 2: Convert to fraction form
    2,516.44/3,773.19 = 760.92/x
  3. Step 3: Cross multiply
    2,516.44x = 3,773.19 × 760.92
  4. Step 4: Simplify right side
    2,516.44x = 2,871,095.73
  5. Step 5: Solve for x
    x = 2,871,095.73/2,516.44
  6. Step 6: Final answer
    x = 1,140.94

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Why These Related Problems?

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