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Finding the Fourth Proportional to 2,168.42, 2,992.02 and 1,284.50

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Solution

The fourth proportional to 2,168.42, 2,992.02 and 1,284.50 is: 1,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.42 : 2,992.02 = 1,284.50 : x
  2. Step 2: Convert to fraction form
    2,168.42/2,992.02 = 1,284.50/x
  3. Step 3: Cross multiply
    2,168.42x = 2,992.02 × 1,284.50
  4. Step 4: Simplify right side
    2,168.42x = 3,843,249.69
  5. Step 5: Solve for x
    x = 3,843,249.69/2,168.42
  6. Step 6: Final answer
    x = 1,772.37

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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.