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Finding the Fourth Proportional to 2,627.71, 3,941.79 and 679.95

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Solution

The fourth proportional to 2,627.71, 3,941.79 and 679.95 is: 1,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.71 : 3,941.79 = 679.95 : x
  2. Step 2: Convert to fraction form
    2,627.71/3,941.79 = 679.95/x
  3. Step 3: Cross multiply
    2,627.71x = 3,941.79 × 679.95
  4. Step 4: Simplify right side
    2,627.71x = 2,680,220.11
  5. Step 5: Solve for x
    x = 2,680,220.11/2,627.71
  6. Step 6: Final answer
    x = 1,019.98

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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.