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Finding the Fourth Proportional to 2,761.89, 4,142.69 and 1,030.38

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Solution

The fourth proportional to 2,761.89, 4,142.69 and 1,030.38 is: 1,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.89 : 4,142.69 = 1,030.38 : x
  2. Step 2: Convert to fraction form
    2,761.89/4,142.69 = 1,030.38/x
  3. Step 3: Cross multiply
    2,761.89x = 4,142.69 × 1,030.38
  4. Step 4: Simplify right side
    2,761.89x = 4,268,544.92
  5. Step 5: Solve for x
    x = 4,268,544.92/2,761.89
  6. Step 6: Final answer
    x = 1,545.52

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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.