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Finding the Fourth Proportional to 1,426.35, 2,138.28 and 685.59

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Solution

The fourth proportional to 1,426.35, 2,138.28 and 685.59 is: 1,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.35 : 2,138.28 = 685.59 : x
  2. Step 2: Convert to fraction form
    1,426.35/2,138.28 = 685.59/x
  3. Step 3: Cross multiply
    1,426.35x = 2,138.28 × 685.59
  4. Step 4: Simplify right side
    1,426.35x = 1,465,987.02
  5. Step 5: Solve for x
    x = 1,465,987.02/1,426.35
  6. Step 6: Final answer
    x = 1,027.79

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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.