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Finding the Fourth Proportional to 1,452.67, 1,991.62 and 1,426.38

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Solution

The fourth proportional to 1,452.67, 1,991.62 and 1,426.38 is: 1,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.67 : 1,991.62 = 1,426.38 : x
  2. Step 2: Convert to fraction form
    1,452.67/1,991.62 = 1,426.38/x
  3. Step 3: Cross multiply
    1,452.67x = 1,991.62 × 1,426.38
  4. Step 4: Simplify right side
    1,452.67x = 2,840,801.25
  5. Step 5: Solve for x
    x = 2,840,801.25/1,452.67
  6. Step 6: Final answer
    x = 1,955.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.