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Finding the Fourth Proportional to 3,138.85, 4,331.71 and 1,722.61

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Solution

The fourth proportional to 3,138.85, 4,331.71 and 1,722.61 is: 2,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.85 : 4,331.71 = 1,722.61 : x
  2. Step 2: Convert to fraction form
    3,138.85/4,331.71 = 1,722.61/x
  3. Step 3: Cross multiply
    3,138.85x = 4,331.71 × 1,722.61
  4. Step 4: Simplify right side
    3,138.85x = 7,461,846.96
  5. Step 5: Solve for x
    x = 7,461,846.96/3,138.85
  6. Step 6: Final answer
    x = 2,377.26

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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.