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Finding the Fourth Proportional to 3,074.66, 4,609.25 and 1,200.12

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Solution

The fourth proportional to 3,074.66, 4,609.25 and 1,200.12 is: 1,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.66 : 4,609.25 = 1,200.12 : x
  2. Step 2: Convert to fraction form
    3,074.66/4,609.25 = 1,200.12/x
  3. Step 3: Cross multiply
    3,074.66x = 4,609.25 × 1,200.12
  4. Step 4: Simplify right side
    3,074.66x = 5,531,641.08
  5. Step 5: Solve for x
    x = 5,531,641.08/3,074.66
  6. Step 6: Final answer
    x = 1,799.11

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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.