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Finding the Fourth Proportional to 2,697.97, 3,725.31 and 2,110.18

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Solution

The fourth proportional to 2,697.97, 3,725.31 and 2,110.18 is: 2,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.97 : 3,725.31 = 2,110.18 : x
  2. Step 2: Convert to fraction form
    2,697.97/3,725.31 = 2,110.18/x
  3. Step 3: Cross multiply
    2,697.97x = 3,725.31 × 2,110.18
  4. Step 4: Simplify right side
    2,697.97x = 7,861,074.66
  5. Step 5: Solve for x
    x = 7,861,074.66/2,697.97
  6. Step 6: Final answer
    x = 2,913.70

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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.