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Finding the Fourth Proportional to 2,289.90, 3,437.10 and 1,195.14

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Solution

The fourth proportional to 2,289.90, 3,437.10 and 1,195.14 is: 1,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.90 : 3,437.10 = 1,195.14 : x
  2. Step 2: Convert to fraction form
    2,289.90/3,437.10 = 1,195.14/x
  3. Step 3: Cross multiply
    2,289.90x = 3,437.10 × 1,195.14
  4. Step 4: Simplify right side
    2,289.90x = 4,107,815.69
  5. Step 5: Solve for x
    x = 4,107,815.69/2,289.90
  6. Step 6: Final answer
    x = 1,793.88

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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.