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Finding the Fourth Proportional to 2,443.66, 3,658.32 and 1,516.24

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Solution

The fourth proportional to 2,443.66, 3,658.32 and 1,516.24 is: 2,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.66 : 3,658.32 = 1,516.24 : x
  2. Step 2: Convert to fraction form
    2,443.66/3,658.32 = 1,516.24/x
  3. Step 3: Cross multiply
    2,443.66x = 3,658.32 × 1,516.24
  4. Step 4: Simplify right side
    2,443.66x = 5,546,891.12
  5. Step 5: Solve for x
    x = 5,546,891.12/2,443.66
  6. Step 6: Final answer
    x = 2,269.91

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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.