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Finding the Fourth Proportional to 2,314.18, 3,472.40 and 1,081.40

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Solution

The fourth proportional to 2,314.18, 3,472.40 and 1,081.40 is: 1,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.18 : 3,472.40 = 1,081.40 : x
  2. Step 2: Convert to fraction form
    2,314.18/3,472.40 = 1,081.40/x
  3. Step 3: Cross multiply
    2,314.18x = 3,472.40 × 1,081.40
  4. Step 4: Simplify right side
    2,314.18x = 3,755,053.36
  5. Step 5: Solve for x
    x = 3,755,053.36/2,314.18
  6. Step 6: Final answer
    x = 1,622.63

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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.