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Finding the Fourth Proportional to 1,350.68, 2,026.12 and 426.28

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Solution

The fourth proportional to 1,350.68, 2,026.12 and 426.28 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.68 : 2,026.12 = 426.28 : x
  2. Step 2: Convert to fraction form
    1,350.68/2,026.12 = 426.28/x
  3. Step 3: Cross multiply
    1,350.68x = 2,026.12 × 426.28
  4. Step 4: Simplify right side
    1,350.68x = 863,692.30
  5. Step 5: Solve for x
    x = 863,692.30/1,350.68
  6. Step 6: Final answer
    x = 639.45

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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.