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Finding the Fourth Proportional to 1,724.81, 2,380.36 and 978.84

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Solution

The fourth proportional to 1,724.81, 2,380.36 and 978.84 is: 1,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.81 : 2,380.36 = 978.84 : x
  2. Step 2: Convert to fraction form
    1,724.81/2,380.36 = 978.84/x
  3. Step 3: Cross multiply
    1,724.81x = 2,380.36 × 978.84
  4. Step 4: Simplify right side
    1,724.81x = 2,329,991.58
  5. Step 5: Solve for x
    x = 2,329,991.58/1,724.81
  6. Step 6: Final answer
    x = 1,350.87

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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.