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Finding the Fourth Proportional to 1,251.37, 1,878.27 and 1,023.05

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Solution

The fourth proportional to 1,251.37, 1,878.27 and 1,023.05 is: 1,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.37 : 1,878.27 = 1,023.05 : x
  2. Step 2: Convert to fraction form
    1,251.37/1,878.27 = 1,023.05/x
  3. Step 3: Cross multiply
    1,251.37x = 1,878.27 × 1,023.05
  4. Step 4: Simplify right side
    1,251.37x = 1,921,568.82
  5. Step 5: Solve for x
    x = 1,921,568.82/1,251.37
  6. Step 6: Final answer
    x = 1,535.58

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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.