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Finding the Fourth Proportional to 2,423.92, 3,635.76 and 1,443.44

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Solution

The fourth proportional to 2,423.92, 3,635.76 and 1,443.44 is: 2,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.92 : 3,635.76 = 1,443.44 : x
  2. Step 2: Convert to fraction form
    2,423.92/3,635.76 = 1,443.44/x
  3. Step 3: Cross multiply
    2,423.92x = 3,635.76 × 1,443.44
  4. Step 4: Simplify right side
    2,423.92x = 5,248,001.41
  5. Step 5: Solve for x
    x = 5,248,001.41/2,423.92
  6. Step 6: Final answer
    x = 2,165.09

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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.