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Finding the Fourth Proportional to 2,437.92, 3,363.60 and 1,442.82

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Solution

The fourth proportional to 2,437.92, 3,363.60 and 1,442.82 is: 1,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.92 : 3,363.60 = 1,442.82 : x
  2. Step 2: Convert to fraction form
    2,437.92/3,363.60 = 1,442.82/x
  3. Step 3: Cross multiply
    2,437.92x = 3,363.60 × 1,442.82
  4. Step 4: Simplify right side
    2,437.92x = 4,853,069.35
  5. Step 5: Solve for x
    x = 4,853,069.35/2,437.92
  6. Step 6: Final answer
    x = 1,990.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.