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Finding the Fourth Proportional to 2,044.72, 2,824.29 and 1,778.63

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Solution

The fourth proportional to 2,044.72, 2,824.29 and 1,778.63 is: 2,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.72 : 2,824.29 = 1,778.63 : x
  2. Step 2: Convert to fraction form
    2,044.72/2,824.29 = 1,778.63/x
  3. Step 3: Cross multiply
    2,044.72x = 2,824.29 × 1,778.63
  4. Step 4: Simplify right side
    2,044.72x = 5,023,366.92
  5. Step 5: Solve for x
    x = 5,023,366.92/2,044.72
  6. Step 6: Final answer
    x = 2,456.75

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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.