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Finding the Fourth Proportional to 3,257.92, 4,888.68 and 1,309.60

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Solution

The fourth proportional to 3,257.92, 4,888.68 and 1,309.60 is: 1,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,888.68 = 1,309.60 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,888.68 = 1,309.60/x
  3. Step 3: Cross multiply
    3,257.92x = 4,888.68 × 1,309.60
  4. Step 4: Simplify right side
    3,257.92x = 6,402,215.33
  5. Step 5: Solve for x
    x = 6,402,215.33/3,257.92
  6. Step 6: Final answer
    x = 1,965.12

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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.