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Finding the Fourth Proportional to 1,427.44, 2,140.32 and 1,265.44

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Solution

The fourth proportional to 1,427.44, 2,140.32 and 1,265.44 is: 1,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.44 : 2,140.32 = 1,265.44 : x
  2. Step 2: Convert to fraction form
    1,427.44/2,140.32 = 1,265.44/x
  3. Step 3: Cross multiply
    1,427.44x = 2,140.32 × 1,265.44
  4. Step 4: Simplify right side
    1,427.44x = 2,708,446.54
  5. Step 5: Solve for x
    x = 2,708,446.54/1,427.44
  6. Step 6: Final answer
    x = 1,897.42

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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.