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Finding the Fourth Proportional to 2,643.76, 3,963.40 and 1,325.89

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Solution

The fourth proportional to 2,643.76, 3,963.40 and 1,325.89 is: 1,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.76 : 3,963.40 = 1,325.89 : x
  2. Step 2: Convert to fraction form
    2,643.76/3,963.40 = 1,325.89/x
  3. Step 3: Cross multiply
    2,643.76x = 3,963.40 × 1,325.89
  4. Step 4: Simplify right side
    2,643.76x = 5,255,012.61
  5. Step 5: Solve for x
    x = 5,255,012.61/2,643.76
  6. Step 6: Final answer
    x = 1,987.71

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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.