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Finding the Fourth Proportional to 3,234.52, 4,851.78 and 1,154.44

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Solution

The fourth proportional to 3,234.52, 4,851.78 and 1,154.44 is: 1,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.52 : 4,851.78 = 1,154.44 : x
  2. Step 2: Convert to fraction form
    3,234.52/4,851.78 = 1,154.44/x
  3. Step 3: Cross multiply
    3,234.52x = 4,851.78 × 1,154.44
  4. Step 4: Simplify right side
    3,234.52x = 5,601,088.90
  5. Step 5: Solve for x
    x = 5,601,088.90/3,234.52
  6. Step 6: Final answer
    x = 1,731.66

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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.