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Finding the Fourth Proportional to 2,761.53, 4,142.66 and 1,029.93

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Solution

The fourth proportional to 2,761.53, 4,142.66 and 1,029.93 is: 1,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.53 : 4,142.66 = 1,029.93 : x
  2. Step 2: Convert to fraction form
    2,761.53/4,142.66 = 1,029.93/x
  3. Step 3: Cross multiply
    2,761.53x = 4,142.66 × 1,029.93
  4. Step 4: Simplify right side
    2,761.53x = 4,266,644.66
  5. Step 5: Solve for x
    x = 4,266,644.66/2,761.53
  6. Step 6: Final answer
    x = 1,545.03

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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.