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Finding the Fourth Proportional to 2,122.97, 3,184.34 and 661.95

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Solution

The fourth proportional to 2,122.97, 3,184.34 and 661.95 is: 992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.97 : 3,184.34 = 661.95 : x
  2. Step 2: Convert to fraction form
    2,122.97/3,184.34 = 661.95/x
  3. Step 3: Cross multiply
    2,122.97x = 3,184.34 × 661.95
  4. Step 4: Simplify right side
    2,122.97x = 2,107,870.55
  5. Step 5: Solve for x
    x = 2,107,870.55/2,122.97
  6. Step 6: Final answer
    x = 992.89

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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.