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Finding the Fourth Proportional to 1,724.65, 2,380.32 and 978.91

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Solution

The fourth proportional to 1,724.65, 2,380.32 and 978.91 is: 1,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.65 : 2,380.32 = 978.91 : x
  2. Step 2: Convert to fraction form
    1,724.65/2,380.32 = 978.91/x
  3. Step 3: Cross multiply
    1,724.65x = 2,380.32 × 978.91
  4. Step 4: Simplify right side
    1,724.65x = 2,330,113.10
  5. Step 5: Solve for x
    x = 2,330,113.10/1,724.65
  6. Step 6: Final answer
    x = 1,351.07

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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.