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Finding the Fourth Proportional to 1,427.32, 2,139.90 and 963.80

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Solution

The fourth proportional to 1,427.32, 2,139.90 and 963.80 is: 1,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.32 : 2,139.90 = 963.80 : x
  2. Step 2: Convert to fraction form
    1,427.32/2,139.90 = 963.80/x
  3. Step 3: Cross multiply
    1,427.32x = 2,139.90 × 963.80
  4. Step 4: Simplify right side
    1,427.32x = 2,062,435.62
  5. Step 5: Solve for x
    x = 2,062,435.62/1,427.32
  6. Step 6: Final answer
    x = 1,444.97

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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.