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Finding the Fourth Proportional to 2,640.27, 3,641.94 and 1,577.34

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Solution

The fourth proportional to 2,640.27, 3,641.94 and 1,577.34 is: 2,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.27 : 3,641.94 = 1,577.34 : x
  2. Step 2: Convert to fraction form
    2,640.27/3,641.94 = 1,577.34/x
  3. Step 3: Cross multiply
    2,640.27x = 3,641.94 × 1,577.34
  4. Step 4: Simplify right side
    2,640.27x = 5,744,577.64
  5. Step 5: Solve for x
    x = 5,744,577.64/2,640.27
  6. Step 6: Final answer
    x = 2,175.75

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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.