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Finding the Fourth Proportional to 2,199.62, 3,295.80 and 1,332.14

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Solution

The fourth proportional to 2,199.62, 3,295.80 and 1,332.14 is: 1,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.62 : 3,295.80 = 1,332.14 : x
  2. Step 2: Convert to fraction form
    2,199.62/3,295.80 = 1,332.14/x
  3. Step 3: Cross multiply
    2,199.62x = 3,295.80 × 1,332.14
  4. Step 4: Simplify right side
    2,199.62x = 4,390,467.01
  5. Step 5: Solve for x
    x = 4,390,467.01/2,199.62
  6. Step 6: Final answer
    x = 1,996.01

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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.