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Finding the Fourth Proportional to 2,092.62, 2,886.22 and 1,532.89

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Solution

The fourth proportional to 2,092.62, 2,886.22 and 1,532.89 is: 2,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.62 : 2,886.22 = 1,532.89 : x
  2. Step 2: Convert to fraction form
    2,092.62/2,886.22 = 1,532.89/x
  3. Step 3: Cross multiply
    2,092.62x = 2,886.22 × 1,532.89
  4. Step 4: Simplify right side
    2,092.62x = 4,424,257.78
  5. Step 5: Solve for x
    x = 4,424,257.78/2,092.62
  6. Step 6: Final answer
    x = 2,114.22

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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.