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Finding the Fourth Proportional to 1,766.97, 2,653.22 and 1,404.79

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Solution

The fourth proportional to 1,766.97, 2,653.22 and 1,404.79 is: 2,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.97 : 2,653.22 = 1,404.79 : x
  2. Step 2: Convert to fraction form
    1,766.97/2,653.22 = 1,404.79/x
  3. Step 3: Cross multiply
    1,766.97x = 2,653.22 × 1,404.79
  4. Step 4: Simplify right side
    1,766.97x = 3,727,213.80
  5. Step 5: Solve for x
    x = 3,727,213.80/1,766.97
  6. Step 6: Final answer
    x = 2,109.38

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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.