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Finding the Fourth Proportional to 2,641.11, 3,644.85 and 1,446.18

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Solution

The fourth proportional to 2,641.11, 3,644.85 and 1,446.18 is: 1,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.11 : 3,644.85 = 1,446.18 : x
  2. Step 2: Convert to fraction form
    2,641.11/3,644.85 = 1,446.18/x
  3. Step 3: Cross multiply
    2,641.11x = 3,644.85 × 1,446.18
  4. Step 4: Simplify right side
    2,641.11x = 5,271,109.17
  5. Step 5: Solve for x
    x = 5,271,109.17/2,641.11
  6. Step 6: Final answer
    x = 1,995.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.