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Finding the Fourth Proportional to 2,267.90, 3,398.12 and 1,400.42

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Solution

The fourth proportional to 2,267.90, 3,398.12 and 1,400.42 is: 2,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.90 : 3,398.12 = 1,400.42 : x
  2. Step 2: Convert to fraction form
    2,267.90/3,398.12 = 1,400.42/x
  3. Step 3: Cross multiply
    2,267.90x = 3,398.12 × 1,400.42
  4. Step 4: Simplify right side
    2,267.90x = 4,758,795.21
  5. Step 5: Solve for x
    x = 4,758,795.21/2,267.90
  6. Step 6: Final answer
    x = 2,098.33

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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.