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Finding the Fourth Proportional to 2,103.62, 3,155.22 and 918.18

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Solution

The fourth proportional to 2,103.62, 3,155.22 and 918.18 is: 1,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.62 : 3,155.22 = 918.18 : x
  2. Step 2: Convert to fraction form
    2,103.62/3,155.22 = 918.18/x
  3. Step 3: Cross multiply
    2,103.62x = 3,155.22 × 918.18
  4. Step 4: Simplify right side
    2,103.62x = 2,897,059.90
  5. Step 5: Solve for x
    x = 2,897,059.90/2,103.62
  6. Step 6: Final answer
    x = 1,377.18

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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.