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Finding the Fourth Proportional to 2,142.03, 3,213.71 and 1,921.26

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Solution

The fourth proportional to 2,142.03, 3,213.71 and 1,921.26 is: 2,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.03 : 3,213.71 = 1,921.26 : x
  2. Step 2: Convert to fraction form
    2,142.03/3,213.71 = 1,921.26/x
  3. Step 3: Cross multiply
    2,142.03x = 3,213.71 × 1,921.26
  4. Step 4: Simplify right side
    2,142.03x = 6,174,372.47
  5. Step 5: Solve for x
    x = 6,174,372.47/2,142.03
  6. Step 6: Final answer
    x = 2,882.49

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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.