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Finding the Fourth Proportional to 2,641.09, 3,644.65 and 1,446.08

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Solution

The fourth proportional to 2,641.09, 3,644.65 and 1,446.08 is: 1,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.09 : 3,644.65 = 1,446.08 : x
  2. Step 2: Convert to fraction form
    2,641.09/3,644.65 = 1,446.08/x
  3. Step 3: Cross multiply
    2,641.09x = 3,644.65 × 1,446.08
  4. Step 4: Simplify right side
    2,641.09x = 5,270,455.47
  5. Step 5: Solve for x
    x = 5,270,455.47/2,641.09
  6. Step 6: Final answer
    x = 1,995.56

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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.