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Finding the Fourth Proportional to 1,724.07, 2,379.24 and 978

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Solution

The fourth proportional to 1,724.07, 2,379.24 and 978 is: 1,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.07 : 2,379.24 = 978 : x
  2. Step 2: Convert to fraction form
    1,724.07/2,379.24 = 978/x
  3. Step 3: Cross multiply
    1,724.07x = 2,379.24 × 978
  4. Step 4: Simplify right side
    1,724.07x = 2,326,891.83
  5. Step 5: Solve for x
    x = 2,326,891.83/1,724.07
  6. Step 6: Final answer
    x = 1,349.65

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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.