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Finding the Fourth Proportional to 3,074.20, 4,612.92 and 1,844.08

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Solution

The fourth proportional to 3,074.20, 4,612.92 and 1,844.08 is: 2,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.20 : 4,612.92 = 1,844.08 : x
  2. Step 2: Convert to fraction form
    3,074.20/4,612.92 = 1,844.08/x
  3. Step 3: Cross multiply
    3,074.20x = 4,612.92 × 1,844.08
  4. Step 4: Simplify right side
    3,074.20x = 8,506,593.51
  5. Step 5: Solve for x
    x = 8,506,593.51/3,074.20
  6. Step 6: Final answer
    x = 2,767.09

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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.