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Finding the Fourth Proportional to 3,232.97, 4,461.92 and 1,973.76

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Solution

The fourth proportional to 3,232.97, 4,461.92 and 1,973.76 is: 2,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.97 : 4,461.92 = 1,973.76 : x
  2. Step 2: Convert to fraction form
    3,232.97/4,461.92 = 1,973.76/x
  3. Step 3: Cross multiply
    3,232.97x = 4,461.92 × 1,973.76
  4. Step 4: Simplify right side
    3,232.97x = 8,806,759.22
  5. Step 5: Solve for x
    x = 8,806,759.22/3,232.97
  6. Step 6: Final answer
    x = 2,724.05

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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.