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Finding the Fourth Proportional to 3,246.74, 4,870.20 and 2,207.60

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Solution

The fourth proportional to 3,246.74, 4,870.20 and 2,207.60 is: 3,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.74 : 4,870.20 = 2,207.60 : x
  2. Step 2: Convert to fraction form
    3,246.74/4,870.20 = 2,207.60/x
  3. Step 3: Cross multiply
    3,246.74x = 4,870.20 × 2,207.60
  4. Step 4: Simplify right side
    3,246.74x = 10,751,453.52
  5. Step 5: Solve for x
    x = 10,751,453.52/3,246.74
  6. Step 6: Final answer
    x = 3,311.46

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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.