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Finding the Fourth Proportional to 2,132.82, 2,943.99 and 1,425.89

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Solution

The fourth proportional to 2,132.82, 2,943.99 and 1,425.89 is: 1,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.82 : 2,943.99 = 1,425.89 : x
  2. Step 2: Convert to fraction form
    2,132.82/2,943.99 = 1,425.89/x
  3. Step 3: Cross multiply
    2,132.82x = 2,943.99 × 1,425.89
  4. Step 4: Simplify right side
    2,132.82x = 4,197,791.18
  5. Step 5: Solve for x
    x = 4,197,791.18/2,132.82
  6. Step 6: Final answer
    x = 1,968.19

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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.