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Finding the Fourth Proportional to 2,283.36, 3,407.12 and 2,144.04

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Solution

The fourth proportional to 2,283.36, 3,407.12 and 2,144.04 is: 3,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.36 : 3,407.12 = 2,144.04 : x
  2. Step 2: Convert to fraction form
    2,283.36/3,407.12 = 2,144.04/x
  3. Step 3: Cross multiply
    2,283.36x = 3,407.12 × 2,144.04
  4. Step 4: Simplify right side
    2,283.36x = 7,304,990.84
  5. Step 5: Solve for x
    x = 7,304,990.84/2,283.36
  6. Step 6: Final answer
    x = 3,199.23

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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.