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Finding the Fourth Proportional to 1,844.80, 2,767.62 and 612.12

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Solution

The fourth proportional to 1,844.80, 2,767.62 and 612.12 is: 918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.80 : 2,767.62 = 612.12 : x
  2. Step 2: Convert to fraction form
    1,844.80/2,767.62 = 612.12/x
  3. Step 3: Cross multiply
    1,844.80x = 2,767.62 × 612.12
  4. Step 4: Simplify right side
    1,844.80x = 1,694,115.55
  5. Step 5: Solve for x
    x = 1,694,115.55/1,844.80
  6. Step 6: Final answer
    x = 918.32

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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.