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Finding the Fourth Proportional to 2,761.74, 4,143.08 and 913.29

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Solution

The fourth proportional to 2,761.74, 4,143.08 and 913.29 is: 1,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.74 : 4,143.08 = 913.29 : x
  2. Step 2: Convert to fraction form
    2,761.74/4,143.08 = 913.29/x
  3. Step 3: Cross multiply
    2,761.74x = 4,143.08 × 913.29
  4. Step 4: Simplify right side
    2,761.74x = 3,783,828.97
  5. Step 5: Solve for x
    x = 3,783,828.97/2,761.74
  6. Step 6: Final answer
    x = 1,370.09

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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.