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Finding the Fourth Proportional to 2,175.90, 3,001.62 and 2,092.02

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Solution

The fourth proportional to 2,175.90, 3,001.62 and 2,092.02 is: 2,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.90 : 3,001.62 = 2,092.02 : x
  2. Step 2: Convert to fraction form
    2,175.90/3,001.62 = 2,092.02/x
  3. Step 3: Cross multiply
    2,175.90x = 3,001.62 × 2,092.02
  4. Step 4: Simplify right side
    2,175.90x = 6,279,449.07
  5. Step 5: Solve for x
    x = 6,279,449.07/2,175.90
  6. Step 6: Final answer
    x = 2,885.91

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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.