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Finding the Fourth Proportional to 3,074.72, 4,613.24 and 1,843.01

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Solution

The fourth proportional to 3,074.72, 4,613.24 and 1,843.01 is: 2,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.72 : 4,613.24 = 1,843.01 : x
  2. Step 2: Convert to fraction form
    3,074.72/4,613.24 = 1,843.01/x
  3. Step 3: Cross multiply
    3,074.72x = 4,613.24 × 1,843.01
  4. Step 4: Simplify right side
    3,074.72x = 8,502,215.17
  5. Step 5: Solve for x
    x = 8,502,215.17/3,074.72
  6. Step 6: Final answer
    x = 2,765.20

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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.