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Finding the Fourth Proportional to 2,562.54, 3,839.73 and 1,866

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Solution

The fourth proportional to 2,562.54, 3,839.73 and 1,866 is: 2,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.54 : 3,839.73 = 1,866 : x
  2. Step 2: Convert to fraction form
    2,562.54/3,839.73 = 1,866/x
  3. Step 3: Cross multiply
    2,562.54x = 3,839.73 × 1,866
  4. Step 4: Simplify right side
    2,562.54x = 7,164,936.18
  5. Step 5: Solve for x
    x = 7,164,936.18/2,562.54
  6. Step 6: Final answer
    x = 2,796.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.