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Finding the Fourth Proportional to 2,657.52, 3,982.86 and 2,327.67

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Solution

The fourth proportional to 2,657.52, 3,982.86 and 2,327.67 is: 3,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.52 : 3,982.86 = 2,327.67 : x
  2. Step 2: Convert to fraction form
    2,657.52/3,982.86 = 2,327.67/x
  3. Step 3: Cross multiply
    2,657.52x = 3,982.86 × 2,327.67
  4. Step 4: Simplify right side
    2,657.52x = 9,270,783.74
  5. Step 5: Solve for x
    x = 9,270,783.74/2,657.52
  6. Step 6: Final answer
    x = 3,488.51

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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.