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Finding the Fourth Proportional to 2,291.66, 3,437.18 and 1,367.34

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Solution

The fourth proportional to 2,291.66, 3,437.18 and 1,367.34 is: 2,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.66 : 3,437.18 = 1,367.34 : x
  2. Step 2: Convert to fraction form
    2,291.66/3,437.18 = 1,367.34/x
  3. Step 3: Cross multiply
    2,291.66x = 3,437.18 × 1,367.34
  4. Step 4: Simplify right side
    2,291.66x = 4,699,793.70
  5. Step 5: Solve for x
    x = 4,699,793.70/2,291.66
  6. Step 6: Final answer
    x = 2,050.83

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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.