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Finding the Fourth Proportional to 3,167.06, 4,746 and 2,178.86

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Solution

The fourth proportional to 3,167.06, 4,746 and 2,178.86 is: 3,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.06 : 4,746 = 2,178.86 : x
  2. Step 2: Convert to fraction form
    3,167.06/4,746 = 2,178.86/x
  3. Step 3: Cross multiply
    3,167.06x = 4,746 × 2,178.86
  4. Step 4: Simplify right side
    3,167.06x = 10,340,869.56
  5. Step 5: Solve for x
    x = 10,340,869.56/3,167.06
  6. Step 6: Final answer
    x = 3,265.13

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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.