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Finding the Fourth Proportional to 2,248.45, 3,355.50 and 2,002.41

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Solution

The fourth proportional to 2,248.45, 3,355.50 and 2,002.41 is: 2,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.45 : 3,355.50 = 2,002.41 : x
  2. Step 2: Convert to fraction form
    2,248.45/3,355.50 = 2,002.41/x
  3. Step 3: Cross multiply
    2,248.45x = 3,355.50 × 2,002.41
  4. Step 4: Simplify right side
    2,248.45x = 6,719,086.76
  5. Step 5: Solve for x
    x = 6,719,086.76/2,248.45
  6. Step 6: Final answer
    x = 2,988.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.