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Finding the Fourth Proportional to 2,516.73, 3,774.65 and 1,129.83

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Solution

The fourth proportional to 2,516.73, 3,774.65 and 1,129.83 is: 1,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.73 : 3,774.65 = 1,129.83 : x
  2. Step 2: Convert to fraction form
    2,516.73/3,774.65 = 1,129.83/x
  3. Step 3: Cross multiply
    2,516.73x = 3,774.65 × 1,129.83
  4. Step 4: Simplify right side
    2,516.73x = 4,264,707.16
  5. Step 5: Solve for x
    x = 4,264,707.16/2,516.73
  6. Step 6: Final answer
    x = 1,694.54

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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.