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Finding the Fourth Proportional to 3,207.44, 4,423.20 and 1,948.70

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Solution

The fourth proportional to 3,207.44, 4,423.20 and 1,948.70 is: 2,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.44 : 4,423.20 = 1,948.70 : x
  2. Step 2: Convert to fraction form
    3,207.44/4,423.20 = 1,948.70/x
  3. Step 3: Cross multiply
    3,207.44x = 4,423.20 × 1,948.70
  4. Step 4: Simplify right side
    3,207.44x = 8,619,489.84
  5. Step 5: Solve for x
    x = 8,619,489.84/3,207.44
  6. Step 6: Final answer
    x = 2,687.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.