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Finding the Fourth Proportional to 1,338.51, 2,004.52 and 926.49

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Solution

The fourth proportional to 1,338.51, 2,004.52 and 926.49 is: 1,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.51 : 2,004.52 = 926.49 : x
  2. Step 2: Convert to fraction form
    1,338.51/2,004.52 = 926.49/x
  3. Step 3: Cross multiply
    1,338.51x = 2,004.52 × 926.49
  4. Step 4: Simplify right side
    1,338.51x = 1,857,167.73
  5. Step 5: Solve for x
    x = 1,857,167.73/1,338.51
  6. Step 6: Final answer
    x = 1,387.49

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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.