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Finding the Fourth Proportional to 3,269.06, 4,903.66 and 960.56

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Solution

The fourth proportional to 3,269.06, 4,903.66 and 960.56 is: 1,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.06 : 4,903.66 = 960.56 : x
  2. Step 2: Convert to fraction form
    3,269.06/4,903.66 = 960.56/x
  3. Step 3: Cross multiply
    3,269.06x = 4,903.66 × 960.56
  4. Step 4: Simplify right side
    3,269.06x = 4,710,259.65
  5. Step 5: Solve for x
    x = 4,710,259.65/3,269.06
  6. Step 6: Final answer
    x = 1,440.86

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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.