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Finding the Fourth Proportional to 1,866.42, 2,573.91 and 1,474.38

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Solution

The fourth proportional to 1,866.42, 2,573.91 and 1,474.38 is: 2,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.42 : 2,573.91 = 1,474.38 : x
  2. Step 2: Convert to fraction form
    1,866.42/2,573.91 = 1,474.38/x
  3. Step 3: Cross multiply
    1,866.42x = 2,573.91 × 1,474.38
  4. Step 4: Simplify right side
    1,866.42x = 3,794,921.43
  5. Step 5: Solve for x
    x = 3,794,921.43/1,866.42
  6. Step 6: Final answer
    x = 2,033.26

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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.