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Finding the Fourth Proportional to 2,642.45, 3,963.77 and 1,255.07

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Solution

The fourth proportional to 2,642.45, 3,963.77 and 1,255.07 is: 1,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.45 : 3,963.77 = 1,255.07 : x
  2. Step 2: Convert to fraction form
    2,642.45/3,963.77 = 1,255.07/x
  3. Step 3: Cross multiply
    2,642.45x = 3,963.77 × 1,255.07
  4. Step 4: Simplify right side
    2,642.45x = 4,974,808.81
  5. Step 5: Solve for x
    x = 4,974,808.81/2,642.45
  6. Step 6: Final answer
    x = 1,882.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.