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Finding the Fourth Proportional to 2,290.70, 3,434.90 and 1,120.20

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Solution

The fourth proportional to 2,290.70, 3,434.90 and 1,120.20 is: 1,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.70 : 3,434.90 = 1,120.20 : x
  2. Step 2: Convert to fraction form
    2,290.70/3,434.90 = 1,120.20/x
  3. Step 3: Cross multiply
    2,290.70x = 3,434.90 × 1,120.20
  4. Step 4: Simplify right side
    2,290.70x = 3,847,769.38
  5. Step 5: Solve for x
    x = 3,847,769.38/2,290.70
  6. Step 6: Final answer
    x = 1,679.74

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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.