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Finding the Fourth Proportional to 2,962.26, 4,087.80 and 1,843.11

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Solution

The fourth proportional to 2,962.26, 4,087.80 and 1,843.11 is: 2,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.26 : 4,087.80 = 1,843.11 : x
  2. Step 2: Convert to fraction form
    2,962.26/4,087.80 = 1,843.11/x
  3. Step 3: Cross multiply
    2,962.26x = 4,087.80 × 1,843.11
  4. Step 4: Simplify right side
    2,962.26x = 7,534,265.06
  5. Step 5: Solve for x
    x = 7,534,265.06/2,962.26
  6. Step 6: Final answer
    x = 2,543.42

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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.