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Finding the Fourth Proportional to 2,209.48, 3,318.42 and 1,897.83

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Solution

The fourth proportional to 2,209.48, 3,318.42 and 1,897.83 is: 2,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.48 : 3,318.42 = 1,897.83 : x
  2. Step 2: Convert to fraction form
    2,209.48/3,318.42 = 1,897.83/x
  3. Step 3: Cross multiply
    2,209.48x = 3,318.42 × 1,897.83
  4. Step 4: Simplify right side
    2,209.48x = 6,297,793.47
  5. Step 5: Solve for x
    x = 6,297,793.47/2,209.48
  6. Step 6: Final answer
    x = 2,850.35

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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.