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Finding the Fourth Proportional to 2,061.63, 2,843.64 and 1,274.31

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Solution

The fourth proportional to 2,061.63, 2,843.64 and 1,274.31 is: 1,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.63 : 2,843.64 = 1,274.31 : x
  2. Step 2: Convert to fraction form
    2,061.63/2,843.64 = 1,274.31/x
  3. Step 3: Cross multiply
    2,061.63x = 2,843.64 × 1,274.31
  4. Step 4: Simplify right side
    2,061.63x = 3,623,678.89
  5. Step 5: Solve for x
    x = 3,623,678.89/2,061.63
  6. Step 6: Final answer
    x = 1,757.68

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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.