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Finding the Fourth Proportional to 2,119.02, 3,177.17 and 732.23

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Solution

The fourth proportional to 2,119.02, 3,177.17 and 732.23 is: 1,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.02 : 3,177.17 = 732.23 : x
  2. Step 2: Convert to fraction form
    2,119.02/3,177.17 = 732.23/x
  3. Step 3: Cross multiply
    2,119.02x = 3,177.17 × 732.23
  4. Step 4: Simplify right side
    2,119.02x = 2,326,419.19
  5. Step 5: Solve for x
    x = 2,326,419.19/2,119.02
  6. Step 6: Final answer
    x = 1,097.88

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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.