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Finding the Fourth Proportional to 1,730.28, 2,387.97 and 984.42

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Solution

The fourth proportional to 1,730.28, 2,387.97 and 984.42 is: 1,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.28 : 2,387.97 = 984.42 : x
  2. Step 2: Convert to fraction form
    1,730.28/2,387.97 = 984.42/x
  3. Step 3: Cross multiply
    1,730.28x = 2,387.97 × 984.42
  4. Step 4: Simplify right side
    1,730.28x = 2,350,765.43
  5. Step 5: Solve for x
    x = 2,350,765.43/1,730.28
  6. Step 6: Final answer
    x = 1,358.60

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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.