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Finding the Fourth Proportional to 3,245.97, 4,870.26 and 1,297.92

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Solution

The fourth proportional to 3,245.97, 4,870.26 and 1,297.92 is: 1,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.97 : 4,870.26 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    3,245.97/4,870.26 = 1,297.92/x
  3. Step 3: Cross multiply
    3,245.97x = 4,870.26 × 1,297.92
  4. Step 4: Simplify right side
    3,245.97x = 6,321,207.86
  5. Step 5: Solve for x
    x = 6,321,207.86/3,245.97
  6. Step 6: Final answer
    x = 1,947.40

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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.