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Finding the Fourth Proportional to 2,449.90, 3,670.80 and 1,214.65

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Solution

The fourth proportional to 2,449.90, 3,670.80 and 1,214.65 is: 1,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.90 : 3,670.80 = 1,214.65 : x
  2. Step 2: Convert to fraction form
    2,449.90/3,670.80 = 1,214.65/x
  3. Step 3: Cross multiply
    2,449.90x = 3,670.80 × 1,214.65
  4. Step 4: Simplify right side
    2,449.90x = 4,458,737.22
  5. Step 5: Solve for x
    x = 4,458,737.22/2,449.90
  6. Step 6: Final answer
    x = 1,819.97

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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.