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Finding the Fourth Proportional to 2,497.35, 3,727.51 and 2,162.30

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Solution

The fourth proportional to 2,497.35, 3,727.51 and 2,162.30 is: 3,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.35 : 3,727.51 = 2,162.30 : x
  2. Step 2: Convert to fraction form
    2,497.35/3,727.51 = 2,162.30/x
  3. Step 3: Cross multiply
    2,497.35x = 3,727.51 × 2,162.30
  4. Step 4: Simplify right side
    2,497.35x = 8,059,987.74
  5. Step 5: Solve for x
    x = 8,059,987.74/2,497.35
  6. Step 6: Final answer
    x = 3,227.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.