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Finding the Fourth Proportional to 2,119.25, 3,178.19 and 732.56

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Solution

The fourth proportional to 2,119.25, 3,178.19 and 732.56 is: 1,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.25 : 3,178.19 = 732.56 : x
  2. Step 2: Convert to fraction form
    2,119.25/3,178.19 = 732.56/x
  3. Step 3: Cross multiply
    2,119.25x = 3,178.19 × 732.56
  4. Step 4: Simplify right side
    2,119.25x = 2,328,195.31
  5. Step 5: Solve for x
    x = 2,328,195.31/2,119.25
  6. Step 6: Final answer
    x = 1,098.60

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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.