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Finding the Fourth Proportional to 3,107.67, 4,661.55 and 1,234.02

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Solution

The fourth proportional to 3,107.67, 4,661.55 and 1,234.02 is: 1,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.67 : 4,661.55 = 1,234.02 : x
  2. Step 2: Convert to fraction form
    3,107.67/4,661.55 = 1,234.02/x
  3. Step 3: Cross multiply
    3,107.67x = 4,661.55 × 1,234.02
  4. Step 4: Simplify right side
    3,107.67x = 5,752,439.76
  5. Step 5: Solve for x
    x = 5,752,439.76/3,107.67
  6. Step 6: Final answer
    x = 1,851.05

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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.