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Finding the Fourth Proportional to 4,517.80, 6,776.65 and 1,230.87

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Solution

The fourth proportional to 4,517.80, 6,776.65 and 1,230.87 is: 1,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.80 : 6,776.65 = 1,230.87 : x
  2. Step 2: Convert to fraction form
    4,517.80/6,776.65 = 1,230.87/x
  3. Step 3: Cross multiply
    4,517.80x = 6,776.65 × 1,230.87
  4. Step 4: Simplify right side
    4,517.80x = 8,341,175.19
  5. Step 5: Solve for x
    x = 8,341,175.19/4,517.80
  6. Step 6: Final answer
    x = 1,846.29

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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.