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Finding the Fourth Proportional to 3,152.92, 4,728.77 and 1,204.66

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Solution

The fourth proportional to 3,152.92, 4,728.77 and 1,204.66 is: 1,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.92 : 4,728.77 = 1,204.66 : x
  2. Step 2: Convert to fraction form
    3,152.92/4,728.77 = 1,204.66/x
  3. Step 3: Cross multiply
    3,152.92x = 4,728.77 × 1,204.66
  4. Step 4: Simplify right side
    3,152.92x = 5,696,560.07
  5. Step 5: Solve for x
    x = 5,696,560.07/3,152.92
  6. Step 6: Final answer
    x = 1,806.76

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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.