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Finding the Fourth Proportional to 1,375.57, 2,074.15 and 1,260.75

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Solution

The fourth proportional to 1,375.57, 2,074.15 and 1,260.75 is: 1,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.57 : 2,074.15 = 1,260.75 : x
  2. Step 2: Convert to fraction form
    1,375.57/2,074.15 = 1,260.75/x
  3. Step 3: Cross multiply
    1,375.57x = 2,074.15 × 1,260.75
  4. Step 4: Simplify right side
    1,375.57x = 2,614,984.61
  5. Step 5: Solve for x
    x = 2,614,984.61/1,375.57
  6. Step 6: Final answer
    x = 1,901.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.