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Finding the Fourth Proportional to 2,400.38, 3,601.98 and 1,013.63

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Solution

The fourth proportional to 2,400.38, 3,601.98 and 1,013.63 is: 1,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.38 : 3,601.98 = 1,013.63 : x
  2. Step 2: Convert to fraction form
    2,400.38/3,601.98 = 1,013.63/x
  3. Step 3: Cross multiply
    2,400.38x = 3,601.98 × 1,013.63
  4. Step 4: Simplify right side
    2,400.38x = 3,651,056.98
  5. Step 5: Solve for x
    x = 3,651,056.98/2,400.38
  6. Step 6: Final answer
    x = 1,521.04

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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.