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Finding the Fourth Proportional to 1,844.80, 2,766.32 and 978.88

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Solution

The fourth proportional to 1,844.80, 2,766.32 and 978.88 is: 1,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.80 : 2,766.32 = 978.88 : x
  2. Step 2: Convert to fraction form
    1,844.80/2,766.32 = 978.88/x
  3. Step 3: Cross multiply
    1,844.80x = 2,766.32 × 978.88
  4. Step 4: Simplify right side
    1,844.80x = 2,707,895.32
  5. Step 5: Solve for x
    x = 2,707,895.32/1,844.80
  6. Step 6: Final answer
    x = 1,467.85

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Why These Related Problems?

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