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Finding the Fourth Proportional to 2,424.87, 3,635.01 and 962.82

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Solution

The fourth proportional to 2,424.87, 3,635.01 and 962.82 is: 1,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.87 : 3,635.01 = 962.82 : x
  2. Step 2: Convert to fraction form
    2,424.87/3,635.01 = 962.82/x
  3. Step 3: Cross multiply
    2,424.87x = 3,635.01 × 962.82
  4. Step 4: Simplify right side
    2,424.87x = 3,499,860.33
  5. Step 5: Solve for x
    x = 3,499,860.33/2,424.87
  6. Step 6: Final answer
    x = 1,443.32

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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.