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Finding the Fourth Proportional to 3,176, 4,382.88 and 1,778.78

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Solution

The fourth proportional to 3,176, 4,382.88 and 1,778.78 is: 2,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176 : 4,382.88 = 1,778.78 : x
  2. Step 2: Convert to fraction form
    3,176/4,382.88 = 1,778.78/x
  3. Step 3: Cross multiply
    3,176x = 4,382.88 × 1,778.78
  4. Step 4: Simplify right side
    3,176x = 7,796,179.29
  5. Step 5: Solve for x
    x = 7,796,179.29/3,176
  6. Step 6: Final answer
    x = 2,454.72

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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.