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Finding the Fourth Proportional to 2,747.64, 4,122.18 and 1,209.72

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Solution

The fourth proportional to 2,747.64, 4,122.18 and 1,209.72 is: 1,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.64 : 4,122.18 = 1,209.72 : x
  2. Step 2: Convert to fraction form
    2,747.64/4,122.18 = 1,209.72/x
  3. Step 3: Cross multiply
    2,747.64x = 4,122.18 × 1,209.72
  4. Step 4: Simplify right side
    2,747.64x = 4,986,683.59
  5. Step 5: Solve for x
    x = 4,986,683.59/2,747.64
  6. Step 6: Final answer
    x = 1,814.90

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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.