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Finding the Fourth Proportional to 3,001.84, 4,143 and 2,165.29

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Solution

The fourth proportional to 3,001.84, 4,143 and 2,165.29 is: 2,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.84 : 4,143 = 2,165.29 : x
  2. Step 2: Convert to fraction form
    3,001.84/4,143 = 2,165.29/x
  3. Step 3: Cross multiply
    3,001.84x = 4,143 × 2,165.29
  4. Step 4: Simplify right side
    3,001.84x = 8,970,796.47
  5. Step 5: Solve for x
    x = 8,970,796.47/3,001.84
  6. Step 6: Final answer
    x = 2,988.43

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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.