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Finding the Fourth Proportional to 3,245.40, 4,867.02 and 1,297.80

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Solution

The fourth proportional to 3,245.40, 4,867.02 and 1,297.80 is: 1,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.40 : 4,867.02 = 1,297.80 : x
  2. Step 2: Convert to fraction form
    3,245.40/4,867.02 = 1,297.80/x
  3. Step 3: Cross multiply
    3,245.40x = 4,867.02 × 1,297.80
  4. Step 4: Simplify right side
    3,245.40x = 6,316,418.56
  5. Step 5: Solve for x
    x = 6,316,418.56/3,245.40
  6. Step 6: Final answer
    x = 1,946.27

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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.