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Finding the Fourth Proportional to 3,132.84, 4,323.24 and 1,806.78

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Solution

The fourth proportional to 3,132.84, 4,323.24 and 1,806.78 is: 2,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 4,323.24 = 1,806.78 : x
  2. Step 2: Convert to fraction form
    3,132.84/4,323.24 = 1,806.78/x
  3. Step 3: Cross multiply
    3,132.84x = 4,323.24 × 1,806.78
  4. Step 4: Simplify right side
    3,132.84x = 7,811,143.57
  5. Step 5: Solve for x
    x = 7,811,143.57/3,132.84
  6. Step 6: Final answer
    x = 2,493.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.