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Finding the Fourth Proportional to 2,641.26, 3,640.74 and 2,080.86

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Solution

The fourth proportional to 2,641.26, 3,640.74 and 2,080.86 is: 2,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.26 : 3,640.74 = 2,080.86 : x
  2. Step 2: Convert to fraction form
    2,641.26/3,640.74 = 2,080.86/x
  3. Step 3: Cross multiply
    2,641.26x = 3,640.74 × 2,080.86
  4. Step 4: Simplify right side
    2,641.26x = 7,575,870.24
  5. Step 5: Solve for x
    x = 7,575,870.24/2,641.26
  6. Step 6: Final answer
    x = 2,868.28

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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.