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Finding the Fourth Proportional to 1,998, 2,756.42 and 1,326.12

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Solution

The fourth proportional to 1,998, 2,756.42 and 1,326.12 is: 1,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998 : 2,756.42 = 1,326.12 : x
  2. Step 2: Convert to fraction form
    1,998/2,756.42 = 1,326.12/x
  3. Step 3: Cross multiply
    1,998x = 2,756.42 × 1,326.12
  4. Step 4: Simplify right side
    1,998x = 3,655,343.69
  5. Step 5: Solve for x
    x = 3,655,343.69/1,998
  6. Step 6: Final answer
    x = 1,829.50

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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.