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Finding the Fourth Proportional to 2,517.80, 3,776.70 and 1,056.56

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Solution

The fourth proportional to 2,517.80, 3,776.70 and 1,056.56 is: 1,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.80 : 3,776.70 = 1,056.56 : x
  2. Step 2: Convert to fraction form
    2,517.80/3,776.70 = 1,056.56/x
  3. Step 3: Cross multiply
    2,517.80x = 3,776.70 × 1,056.56
  4. Step 4: Simplify right side
    2,517.80x = 3,990,310.15
  5. Step 5: Solve for x
    x = 3,990,310.15/2,517.80
  6. Step 6: Final answer
    x = 1,584.84

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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.