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Finding the Fourth Proportional to 2,191.87, 3,279.94 and 2,045.23

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Solution

The fourth proportional to 2,191.87, 3,279.94 and 2,045.23 is: 3,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.87 : 3,279.94 = 2,045.23 : x
  2. Step 2: Convert to fraction form
    2,191.87/3,279.94 = 2,045.23/x
  3. Step 3: Cross multiply
    2,191.87x = 3,279.94 × 2,045.23
  4. Step 4: Simplify right side
    2,191.87x = 6,708,231.69
  5. Step 5: Solve for x
    x = 6,708,231.69/2,191.87
  6. Step 6: Final answer
    x = 3,060.51

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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.