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Finding the Fourth Proportional to 1,724.05, 2,379.18 and 978.04

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Solution

The fourth proportional to 1,724.05, 2,379.18 and 978.04 is: 1,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.05 : 2,379.18 = 978.04 : x
  2. Step 2: Convert to fraction form
    1,724.05/2,379.18 = 978.04/x
  3. Step 3: Cross multiply
    1,724.05x = 2,379.18 × 978.04
  4. Step 4: Simplify right side
    1,724.05x = 2,326,933.21
  5. Step 5: Solve for x
    x = 2,326,933.21/1,724.05
  6. Step 6: Final answer
    x = 1,349.69

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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.