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Finding the Fourth Proportional to 2,642.08, 3,641.04 and 2,577.28

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Solution

The fourth proportional to 2,642.08, 3,641.04 and 2,577.28 is: 3,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.08 : 3,641.04 = 2,577.28 : x
  2. Step 2: Convert to fraction form
    2,642.08/3,641.04 = 2,577.28/x
  3. Step 3: Cross multiply
    2,642.08x = 3,641.04 × 2,577.28
  4. Step 4: Simplify right side
    2,642.08x = 9,383,979.57
  5. Step 5: Solve for x
    x = 9,383,979.57/2,642.08
  6. Step 6: Final answer
    x = 3,551.74

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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.