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Finding the Fourth Proportional to 2,641.30, 3,959.20 and 884.98

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Solution

The fourth proportional to 2,641.30, 3,959.20 and 884.98 is: 1,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.30 : 3,959.20 = 884.98 : x
  2. Step 2: Convert to fraction form
    2,641.30/3,959.20 = 884.98/x
  3. Step 3: Cross multiply
    2,641.30x = 3,959.20 × 884.98
  4. Step 4: Simplify right side
    2,641.30x = 3,503,812.82
  5. Step 5: Solve for x
    x = 3,503,812.82/2,641.30
  6. Step 6: Final answer
    x = 1,326.55

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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.