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Finding the Fourth Proportional to 2,230.66, 3,346.04 and 932.14

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Solution

The fourth proportional to 2,230.66, 3,346.04 and 932.14 is: 1,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.66 : 3,346.04 = 932.14 : x
  2. Step 2: Convert to fraction form
    2,230.66/3,346.04 = 932.14/x
  3. Step 3: Cross multiply
    2,230.66x = 3,346.04 × 932.14
  4. Step 4: Simplify right side
    2,230.66x = 3,118,977.73
  5. Step 5: Solve for x
    x = 3,118,977.73/2,230.66
  6. Step 6: Final answer
    x = 1,398.23

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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.