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Finding the Fourth Proportional to 2,423.78, 3,635.91 and 962.61

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Solution

The fourth proportional to 2,423.78, 3,635.91 and 962.61 is: 1,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.78 : 3,635.91 = 962.61 : x
  2. Step 2: Convert to fraction form
    2,423.78/3,635.91 = 962.61/x
  3. Step 3: Cross multiply
    2,423.78x = 3,635.91 × 962.61
  4. Step 4: Simplify right side
    2,423.78x = 3,499,940.33
  5. Step 5: Solve for x
    x = 3,499,940.33/2,423.78
  6. Step 6: Final answer
    x = 1,444.00

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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.