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Finding the Fourth Proportional to 2,283.56, 3,407.41 and 2,144.24

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Solution

The fourth proportional to 2,283.56, 3,407.41 and 2,144.24 is: 3,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.56 : 3,407.41 = 2,144.24 : x
  2. Step 2: Convert to fraction form
    2,283.56/3,407.41 = 2,144.24/x
  3. Step 3: Cross multiply
    2,283.56x = 3,407.41 × 2,144.24
  4. Step 4: Simplify right side
    2,283.56x = 7,306,304.82
  5. Step 5: Solve for x
    x = 7,306,304.82/2,283.56
  6. Step 6: Final answer
    x = 3,199.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.