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Finding the Fourth Proportional to 1,400.12, 2,099.82 and 426.24

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Solution

The fourth proportional to 1,400.12, 2,099.82 and 426.24 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.12 : 2,099.82 = 426.24 : x
  2. Step 2: Convert to fraction form
    1,400.12/2,099.82 = 426.24/x
  3. Step 3: Cross multiply
    1,400.12x = 2,099.82 × 426.24
  4. Step 4: Simplify right side
    1,400.12x = 895,027.28
  5. Step 5: Solve for x
    x = 895,027.28/1,400.12
  6. Step 6: Final answer
    x = 639.25

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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.