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Finding the Fourth Proportional to 3,152.02, 4,727.10 and 960.76

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Solution

The fourth proportional to 3,152.02, 4,727.10 and 960.76 is: 1,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.02 : 4,727.10 = 960.76 : x
  2. Step 2: Convert to fraction form
    3,152.02/4,727.10 = 960.76/x
  3. Step 3: Cross multiply
    3,152.02x = 4,727.10 × 960.76
  4. Step 4: Simplify right side
    3,152.02x = 4,541,608.60
  5. Step 5: Solve for x
    x = 4,541,608.60/3,152.02
  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.