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Finding the Fourth Proportional to 2,230.95, 3,346.38 and 932.10

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Solution

The fourth proportional to 2,230.95, 3,346.38 and 932.10 is: 1,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.95 : 3,346.38 = 932.10 : x
  2. Step 2: Convert to fraction form
    2,230.95/3,346.38 = 932.10/x
  3. Step 3: Cross multiply
    2,230.95x = 3,346.38 × 932.10
  4. Step 4: Simplify right side
    2,230.95x = 3,119,160.80
  5. Step 5: Solve for x
    x = 3,119,160.80/2,230.95
  6. Step 6: Final answer
    x = 1,398.13

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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.