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Finding the Fourth Proportional to 2,230.90, 3,346.76 and 844.65

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Solution

The fourth proportional to 2,230.90, 3,346.76 and 844.65 is: 1,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.90 : 3,346.76 = 844.65 : x
  2. Step 2: Convert to fraction form
    2,230.90/3,346.76 = 844.65/x
  3. Step 3: Cross multiply
    2,230.90x = 3,346.76 × 844.65
  4. Step 4: Simplify right side
    2,230.90x = 2,826,842.95
  5. Step 5: Solve for x
    x = 2,826,842.95/2,230.90
  6. Step 6: Final answer
    x = 1,267.13

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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.