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Finding the Fourth Proportional to 1,866.76, 2,576.24 and 1,027.53

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Solution

The fourth proportional to 1,866.76, 2,576.24 and 1,027.53 is: 1,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.76 : 2,576.24 = 1,027.53 : x
  2. Step 2: Convert to fraction form
    1,866.76/2,576.24 = 1,027.53/x
  3. Step 3: Cross multiply
    1,866.76x = 2,576.24 × 1,027.53
  4. Step 4: Simplify right side
    1,866.76x = 2,647,170.33
  5. Step 5: Solve for x
    x = 2,647,170.33/1,866.76
  6. Step 6: Final answer
    x = 1,418.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.