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Finding the Fourth Proportional to 4,155.96, 6,234.12 and 1,234.20

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Solution

The fourth proportional to 4,155.96, 6,234.12 and 1,234.20 is: 1,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.96 : 6,234.12 = 1,234.20 : x
  2. Step 2: Convert to fraction form
    4,155.96/6,234.12 = 1,234.20/x
  3. Step 3: Cross multiply
    4,155.96x = 6,234.12 × 1,234.20
  4. Step 4: Simplify right side
    4,155.96x = 7,694,150.90
  5. Step 5: Solve for x
    x = 7,694,150.90/4,155.96
  6. Step 6: Final answer
    x = 1,851.35

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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.