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Finding the Fourth Proportional to 2,761.94, 4,147.01 and 2,712.74

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Solution

The fourth proportional to 2,761.94, 4,147.01 and 2,712.74 is: 4,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.94 : 4,147.01 = 2,712.74 : x
  2. Step 2: Convert to fraction form
    2,761.94/4,147.01 = 2,712.74/x
  3. Step 3: Cross multiply
    2,761.94x = 4,147.01 × 2,712.74
  4. Step 4: Simplify right side
    2,761.94x = 11,249,725.61
  5. Step 5: Solve for x
    x = 11,249,725.61/2,761.94
  6. Step 6: Final answer
    x = 4,073.13

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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.