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Finding the Fourth Proportional to 2,230.18, 3,342.38 and 912.40

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Solution

The fourth proportional to 2,230.18, 3,342.38 and 912.40 is: 1,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.18 : 3,342.38 = 912.40 : x
  2. Step 2: Convert to fraction form
    2,230.18/3,342.38 = 912.40/x
  3. Step 3: Cross multiply
    2,230.18x = 3,342.38 × 912.40
  4. Step 4: Simplify right side
    2,230.18x = 3,049,582.95
  5. Step 5: Solve for x
    x = 3,049,582.95/2,230.18
  6. Step 6: Final answer
    x = 1,367.42

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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.