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Finding the Fourth Proportional to 2,294.58, 3,440.34 and 812.82

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Solution

The fourth proportional to 2,294.58, 3,440.34 and 812.82 is: 1,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.58 : 3,440.34 = 812.82 : x
  2. Step 2: Convert to fraction form
    2,294.58/3,440.34 = 812.82/x
  3. Step 3: Cross multiply
    2,294.58x = 3,440.34 × 812.82
  4. Step 4: Simplify right side
    2,294.58x = 2,796,377.16
  5. Step 5: Solve for x
    x = 2,796,377.16/2,294.58
  6. Step 6: Final answer
    x = 1,218.69

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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.