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Finding the Fourth Proportional to 2,532.81, 3,780.89 and 2,188.36

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Solution

The fourth proportional to 2,532.81, 3,780.89 and 2,188.36 is: 3,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.81 : 3,780.89 = 2,188.36 : x
  2. Step 2: Convert to fraction form
    2,532.81/3,780.89 = 2,188.36/x
  3. Step 3: Cross multiply
    2,532.81x = 3,780.89 × 2,188.36
  4. Step 4: Simplify right side
    2,532.81x = 8,273,948.44
  5. Step 5: Solve for x
    x = 8,273,948.44/2,532.81
  6. Step 6: Final answer
    x = 3,266.71

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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.