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Finding the Fourth Proportional to 3,204.76, 4,809.29 and 1,124.78

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Solution

The fourth proportional to 3,204.76, 4,809.29 and 1,124.78 is: 1,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.76 : 4,809.29 = 1,124.78 : x
  2. Step 2: Convert to fraction form
    3,204.76/4,809.29 = 1,124.78/x
  3. Step 3: Cross multiply
    3,204.76x = 4,809.29 × 1,124.78
  4. Step 4: Simplify right side
    3,204.76x = 5,409,363.54
  5. Step 5: Solve for x
    x = 5,409,363.54/3,204.76
  6. Step 6: Final answer
    x = 1,687.92

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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.