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Finding the Fourth Proportional to 1,724.70, 2,380.12 and 978.62

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Solution

The fourth proportional to 1,724.70, 2,380.12 and 978.62 is: 1,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.70 : 2,380.12 = 978.62 : x
  2. Step 2: Convert to fraction form
    1,724.70/2,380.12 = 978.62/x
  3. Step 3: Cross multiply
    1,724.70x = 2,380.12 × 978.62
  4. Step 4: Simplify right side
    1,724.70x = 2,329,233.03
  5. Step 5: Solve for x
    x = 2,329,233.03/1,724.70
  6. Step 6: Final answer
    x = 1,350.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.