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Finding the Fourth Proportional to 2,155.87, 2,974.18 and 1,358.90

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Solution

The fourth proportional to 2,155.87, 2,974.18 and 1,358.90 is: 1,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.87 : 2,974.18 = 1,358.90 : x
  2. Step 2: Convert to fraction form
    2,155.87/2,974.18 = 1,358.90/x
  3. Step 3: Cross multiply
    2,155.87x = 2,974.18 × 1,358.90
  4. Step 4: Simplify right side
    2,155.87x = 4,041,613.20
  5. Step 5: Solve for x
    x = 4,041,613.20/2,155.87
  6. Step 6: Final answer
    x = 1,874.70

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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.