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Finding the Fourth Proportional to 3,412.80, 4,710.42 and 2,233.20

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Solution

The fourth proportional to 3,412.80, 4,710.42 and 2,233.20 is: 3,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.80 : 4,710.42 = 2,233.20 : x
  2. Step 2: Convert to fraction form
    3,412.80/4,710.42 = 2,233.20/x
  3. Step 3: Cross multiply
    3,412.80x = 4,710.42 × 2,233.20
  4. Step 4: Simplify right side
    3,412.80x = 10,519,309.94
  5. Step 5: Solve for x
    x = 10,519,309.94/3,412.80
  6. Step 6: Final answer
    x = 3,082.31

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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.