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Finding the Fourth Proportional to 3,342.70, 5,013.42 and 1,151.44

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Solution

The fourth proportional to 3,342.70, 5,013.42 and 1,151.44 is: 1,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.70 : 5,013.42 = 1,151.44 : x
  2. Step 2: Convert to fraction form
    3,342.70/5,013.42 = 1,151.44/x
  3. Step 3: Cross multiply
    3,342.70x = 5,013.42 × 1,151.44
  4. Step 4: Simplify right side
    3,342.70x = 5,772,652.32
  5. Step 5: Solve for x
    x = 5,772,652.32/3,342.70
  6. Step 6: Final answer
    x = 1,726.94

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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.