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Finding the Fourth Proportional to 1,353.38, 1,866.71 and 1,308.22

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Solution

The fourth proportional to 1,353.38, 1,866.71 and 1,308.22 is: 1,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.38 : 1,866.71 = 1,308.22 : x
  2. Step 2: Convert to fraction form
    1,353.38/1,866.71 = 1,308.22/x
  3. Step 3: Cross multiply
    1,353.38x = 1,866.71 × 1,308.22
  4. Step 4: Simplify right side
    1,353.38x = 2,442,067.36
  5. Step 5: Solve for x
    x = 2,442,067.36/1,353.38
  6. Step 6: Final answer
    x = 1,804.42

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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.