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Finding the Fourth Proportional to 2,393.43, 3,294.53 and 2,077.43

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Solution

The fourth proportional to 2,393.43, 3,294.53 and 2,077.43 is: 2,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.43 : 3,294.53 = 2,077.43 : x
  2. Step 2: Convert to fraction form
    2,393.43/3,294.53 = 2,077.43/x
  3. Step 3: Cross multiply
    2,393.43x = 3,294.53 × 2,077.43
  4. Step 4: Simplify right side
    2,393.43x = 6,844,155.46
  5. Step 5: Solve for x
    x = 6,844,155.46/2,393.43
  6. Step 6: Final answer
    x = 2,859.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.