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Finding the Fourth Proportional to 1,426.72, 2,138.82 and 1,340.68

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Solution

The fourth proportional to 1,426.72, 2,138.82 and 1,340.68 is: 2,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.72 : 2,138.82 = 1,340.68 : x
  2. Step 2: Convert to fraction form
    1,426.72/2,138.82 = 1,340.68/x
  3. Step 3: Cross multiply
    1,426.72x = 2,138.82 × 1,340.68
  4. Step 4: Simplify right side
    1,426.72x = 2,867,473.20
  5. Step 5: Solve for x
    x = 2,867,473.20/1,426.72
  6. Step 6: Final answer
    x = 2,009.84

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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.