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Finding the Fourth Proportional to 2,979.32, 4,468.56 and 788.24

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Solution

The fourth proportional to 2,979.32, 4,468.56 and 788.24 is: 1,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.32 : 4,468.56 = 788.24 : x
  2. Step 2: Convert to fraction form
    2,979.32/4,468.56 = 788.24/x
  3. Step 3: Cross multiply
    2,979.32x = 4,468.56 × 788.24
  4. Step 4: Simplify right side
    2,979.32x = 3,522,297.73
  5. Step 5: Solve for x
    x = 3,522,297.73/2,979.32
  6. Step 6: Final answer
    x = 1,182.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.