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Finding the Fourth Proportional to 2,424.45, 3,635.53 and 962.61

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Solution

The fourth proportional to 2,424.45, 3,635.53 and 962.61 is: 1,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.45 : 3,635.53 = 962.61 : x
  2. Step 2: Convert to fraction form
    2,424.45/3,635.53 = 962.61/x
  3. Step 3: Cross multiply
    2,424.45x = 3,635.53 × 962.61
  4. Step 4: Simplify right side
    2,424.45x = 3,499,597.53
  5. Step 5: Solve for x
    x = 3,499,597.53/2,424.45
  6. Step 6: Final answer
    x = 1,443.46

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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.