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Finding the Fourth Proportional to 2,113.87, 2,917.32 and 1,229.61

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Solution

The fourth proportional to 2,113.87, 2,917.32 and 1,229.61 is: 1,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.87 : 2,917.32 = 1,229.61 : x
  2. Step 2: Convert to fraction form
    2,113.87/2,917.32 = 1,229.61/x
  3. Step 3: Cross multiply
    2,113.87x = 2,917.32 × 1,229.61
  4. Step 4: Simplify right side
    2,113.87x = 3,587,159.70
  5. Step 5: Solve for x
    x = 3,587,159.70/2,113.87
  6. Step 6: Final answer
    x = 1,696.97

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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.