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Finding the Fourth Proportional to 2,188.42, 3,283.97 and 1,149.17

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Solution

The fourth proportional to 2,188.42, 3,283.97 and 1,149.17 is: 1,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.42 : 3,283.97 = 1,149.17 : x
  2. Step 2: Convert to fraction form
    2,188.42/3,283.97 = 1,149.17/x
  3. Step 3: Cross multiply
    2,188.42x = 3,283.97 × 1,149.17
  4. Step 4: Simplify right side
    2,188.42x = 3,773,838.19
  5. Step 5: Solve for x
    x = 3,773,838.19/2,188.42
  6. Step 6: Final answer
    x = 1,724.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.