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Finding the Fourth Proportional to 2,697.82, 3,698.71 and 2,648.61

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Solution

The fourth proportional to 2,697.82, 3,698.71 and 2,648.61 is: 3,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.82 : 3,698.71 = 2,648.61 : x
  2. Step 2: Convert to fraction form
    2,697.82/3,698.71 = 2,648.61/x
  3. Step 3: Cross multiply
    2,697.82x = 3,698.71 × 2,648.61
  4. Step 4: Simplify right side
    2,697.82x = 9,796,440.29
  5. Step 5: Solve for x
    x = 9,796,440.29/2,697.82
  6. Step 6: Final answer
    x = 3,631.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.