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Finding the Fourth Proportional to 2,392.02, 3,587.22 and 1,092.78

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Solution

The fourth proportional to 2,392.02, 3,587.22 and 1,092.78 is: 1,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.02 : 3,587.22 = 1,092.78 : x
  2. Step 2: Convert to fraction form
    2,392.02/3,587.22 = 1,092.78/x
  3. Step 3: Cross multiply
    2,392.02x = 3,587.22 × 1,092.78
  4. Step 4: Simplify right side
    2,392.02x = 3,920,042.27
  5. Step 5: Solve for x
    x = 3,920,042.27/2,392.02
  6. Step 6: Final answer
    x = 1,638.80

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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.