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Finding the Fourth Proportional to 3,175.96, 4,382.80 and 1,778.70

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Solution

The fourth proportional to 3,175.96, 4,382.80 and 1,778.70 is: 2,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.96 : 4,382.80 = 1,778.70 : x
  2. Step 2: Convert to fraction form
    3,175.96/4,382.80 = 1,778.70/x
  3. Step 3: Cross multiply
    3,175.96x = 4,382.80 × 1,778.70
  4. Step 4: Simplify right side
    3,175.96x = 7,795,686.36
  5. Step 5: Solve for x
    x = 7,795,686.36/3,175.96
  6. Step 6: Final answer
    x = 2,454.59

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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.