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Finding the Fourth Proportional to 2,760.71, 4,141.46 and 912.29

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Solution

The fourth proportional to 2,760.71, 4,141.46 and 912.29 is: 1,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.71 : 4,141.46 = 912.29 : x
  2. Step 2: Convert to fraction form
    2,760.71/4,141.46 = 912.29/x
  3. Step 3: Cross multiply
    2,760.71x = 4,141.46 × 912.29
  4. Step 4: Simplify right side
    2,760.71x = 3,778,194.12
  5. Step 5: Solve for x
    x = 3,778,194.12/2,760.71
  6. Step 6: Final answer
    x = 1,368.56

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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.