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Finding the Fourth Proportional to 2,715.75, 4,074.30 and 1,254.60

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Solution

The fourth proportional to 2,715.75, 4,074.30 and 1,254.60 is: 1,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.75 : 4,074.30 = 1,254.60 : x
  2. Step 2: Convert to fraction form
    2,715.75/4,074.30 = 1,254.60/x
  3. Step 3: Cross multiply
    2,715.75x = 4,074.30 × 1,254.60
  4. Step 4: Simplify right side
    2,715.75x = 5,111,616.78
  5. Step 5: Solve for x
    x = 5,111,616.78/2,715.75
  6. Step 6: Final answer
    x = 1,882.21

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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.