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Finding the Fourth Proportional to 2,697.59, 4,044.86 and 823.15

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Solution

The fourth proportional to 2,697.59, 4,044.86 and 823.15 is: 1,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.59 : 4,044.86 = 823.15 : x
  2. Step 2: Convert to fraction form
    2,697.59/4,044.86 = 823.15/x
  3. Step 3: Cross multiply
    2,697.59x = 4,044.86 × 823.15
  4. Step 4: Simplify right side
    2,697.59x = 3,329,512.28
  5. Step 5: Solve for x
    x = 3,329,512.28/2,697.59
  6. Step 6: Final answer
    x = 1,234.26

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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.