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Finding the Fourth Proportional to 4,157.17, 6,234.12 and 1,234.69

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Solution

The fourth proportional to 4,157.17, 6,234.12 and 1,234.69 is: 1,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.17 : 6,234.12 = 1,234.69 : x
  2. Step 2: Convert to fraction form
    4,157.17/6,234.12 = 1,234.69/x
  3. Step 3: Cross multiply
    4,157.17x = 6,234.12 × 1,234.69
  4. Step 4: Simplify right side
    4,157.17x = 7,697,205.62
  5. Step 5: Solve for x
    x = 7,697,205.62/4,157.17
  6. Step 6: Final answer
    x = 1,851.55

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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.