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Finding the Fourth Proportional to 2,437.41, 3,363.90 and 1,442.94

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Solution

The fourth proportional to 2,437.41, 3,363.90 and 1,442.94 is: 1,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.41 : 3,363.90 = 1,442.94 : x
  2. Step 2: Convert to fraction form
    2,437.41/3,363.90 = 1,442.94/x
  3. Step 3: Cross multiply
    2,437.41x = 3,363.90 × 1,442.94
  4. Step 4: Simplify right side
    2,437.41x = 4,853,905.87
  5. Step 5: Solve for x
    x = 4,853,905.87/2,437.41
  6. Step 6: Final answer
    x = 1,991.42

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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.