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Finding the Fourth Proportional to 2,170.96, 2,996.60 and 1,240.08

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Solution

The fourth proportional to 2,170.96, 2,996.60 and 1,240.08 is: 1,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.96 : 2,996.60 = 1,240.08 : x
  2. Step 2: Convert to fraction form
    2,170.96/2,996.60 = 1,240.08/x
  3. Step 3: Cross multiply
    2,170.96x = 2,996.60 × 1,240.08
  4. Step 4: Simplify right side
    2,170.96x = 3,716,023.73
  5. Step 5: Solve for x
    x = 3,716,023.73/2,170.96
  6. Step 6: Final answer
    x = 1,711.70

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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.