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Finding the Fourth Proportional to 1,724.16, 2,379.68 and 978.16

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Solution

The fourth proportional to 1,724.16, 2,379.68 and 978.16 is: 1,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.16 : 2,379.68 = 978.16 : x
  2. Step 2: Convert to fraction form
    1,724.16/2,379.68 = 978.16/x
  3. Step 3: Cross multiply
    1,724.16x = 2,379.68 × 978.16
  4. Step 4: Simplify right side
    1,724.16x = 2,327,707.79
  5. Step 5: Solve for x
    x = 2,327,707.79/1,724.16
  6. Step 6: Final answer
    x = 1,350.05

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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.