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Finding the Fourth Proportional to 1,400.21, 2,099.71 and 426.08

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Solution

The fourth proportional to 1,400.21, 2,099.71 and 426.08 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.21 : 2,099.71 = 426.08 : x
  2. Step 2: Convert to fraction form
    1,400.21/2,099.71 = 426.08/x
  3. Step 3: Cross multiply
    1,400.21x = 2,099.71 × 426.08
  4. Step 4: Simplify right side
    1,400.21x = 894,648.62
  5. Step 5: Solve for x
    x = 894,648.62/1,400.21
  6. Step 6: Final answer
    x = 638.94

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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.