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Finding the Fourth Proportional to 2,742.91, 4,129.54 and 1,882.87

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Solution

The fourth proportional to 2,742.91, 4,129.54 and 1,882.87 is: 2,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.91 : 4,129.54 = 1,882.87 : x
  2. Step 2: Convert to fraction form
    2,742.91/4,129.54 = 1,882.87/x
  3. Step 3: Cross multiply
    2,742.91x = 4,129.54 × 1,882.87
  4. Step 4: Simplify right side
    2,742.91x = 7,775,382.54
  5. Step 5: Solve for x
    x = 7,775,382.54/2,742.91
  6. Step 6: Final answer
    x = 2,834.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.