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Finding the Fourth Proportional to 1,342.62, 2,011.50 and 1,202.49

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Solution

The fourth proportional to 1,342.62, 2,011.50 and 1,202.49 is: 1,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.62 : 2,011.50 = 1,202.49 : x
  2. Step 2: Convert to fraction form
    1,342.62/2,011.50 = 1,202.49/x
  3. Step 3: Cross multiply
    1,342.62x = 2,011.50 × 1,202.49
  4. Step 4: Simplify right side
    1,342.62x = 2,418,808.64
  5. Step 5: Solve for x
    x = 2,418,808.64/1,342.62
  6. Step 6: Final answer
    x = 1,801.56

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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.