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Finding the Fourth Proportional to 2,647.26, 3,970.08 and 1,329.66

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Solution

The fourth proportional to 2,647.26, 3,970.08 and 1,329.66 is: 1,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.26 : 3,970.08 = 1,329.66 : x
  2. Step 2: Convert to fraction form
    2,647.26/3,970.08 = 1,329.66/x
  3. Step 3: Cross multiply
    2,647.26x = 3,970.08 × 1,329.66
  4. Step 4: Simplify right side
    2,647.26x = 5,278,856.57
  5. Step 5: Solve for x
    x = 5,278,856.57/2,647.26
  6. Step 6: Final answer
    x = 1,994.08

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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.