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Finding the Fourth Proportional to 3,244.35, 4,870.17 and 1,297.92

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Solution

The fourth proportional to 3,244.35, 4,870.17 and 1,297.92 is: 1,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.35 : 4,870.17 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    3,244.35/4,870.17 = 1,297.92/x
  3. Step 3: Cross multiply
    3,244.35x = 4,870.17 × 1,297.92
  4. Step 4: Simplify right side
    3,244.35x = 6,321,091.05
  5. Step 5: Solve for x
    x = 6,321,091.05/3,244.35
  6. Step 6: Final answer
    x = 1,948.34

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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.