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Finding the Fourth Proportional to 3,242.84, 4,471.56 and 2,193.08

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Solution

The fourth proportional to 3,242.84, 4,471.56 and 2,193.08 is: 3,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.84 : 4,471.56 = 2,193.08 : x
  2. Step 2: Convert to fraction form
    3,242.84/4,471.56 = 2,193.08/x
  3. Step 3: Cross multiply
    3,242.84x = 4,471.56 × 2,193.08
  4. Step 4: Simplify right side
    3,242.84x = 9,806,488.80
  5. Step 5: Solve for x
    x = 9,806,488.80/3,242.84
  6. Step 6: Final answer
    x = 3,024.04

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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.