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Finding the Fourth Proportional to 4,400.80, 6,601.84 and 1,478.40

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Solution

The fourth proportional to 4,400.80, 6,601.84 and 1,478.40 is: 2,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.80 : 6,601.84 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    4,400.80/6,601.84 = 1,478.40/x
  3. Step 3: Cross multiply
    4,400.80x = 6,601.84 × 1,478.40
  4. Step 4: Simplify right side
    4,400.80x = 9,760,160.26
  5. Step 5: Solve for x
    x = 9,760,160.26/4,400.80
  6. Step 6: Final answer
    x = 2,217.82

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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.