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Finding the Fourth Proportional to 2,424.46, 3,633 and 962.86

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Solution

The fourth proportional to 2,424.46, 3,633 and 962.86 is: 1,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.46 : 3,633 = 962.86 : x
  2. Step 2: Convert to fraction form
    2,424.46/3,633 = 962.86/x
  3. Step 3: Cross multiply
    2,424.46x = 3,633 × 962.86
  4. Step 4: Simplify right side
    2,424.46x = 3,498,070.38
  5. Step 5: Solve for x
    x = 3,498,070.38/2,424.46
  6. Step 6: Final answer
    x = 1,442.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.