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Finding the Fourth Proportional to 1,724.32, 2,379.78 and 978.40

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Solution

The fourth proportional to 1,724.32, 2,379.78 and 978.40 is: 1,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.32 : 2,379.78 = 978.40 : x
  2. Step 2: Convert to fraction form
    1,724.32/2,379.78 = 978.40/x
  3. Step 3: Cross multiply
    1,724.32x = 2,379.78 × 978.40
  4. Step 4: Simplify right side
    1,724.32x = 2,328,376.75
  5. Step 5: Solve for x
    x = 2,328,376.75/1,724.32
  6. Step 6: Final answer
    x = 1,350.32

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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.