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Finding the Fourth Proportional to 1,771.52, 2,655.46 and 991.84

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Solution

The fourth proportional to 1,771.52, 2,655.46 and 991.84 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.52 : 2,655.46 = 991.84 : x
  2. Step 2: Convert to fraction form
    1,771.52/2,655.46 = 991.84/x
  3. Step 3: Cross multiply
    1,771.52x = 2,655.46 × 991.84
  4. Step 4: Simplify right side
    1,771.52x = 2,633,791.45
  5. Step 5: Solve for x
    x = 2,633,791.45/1,771.52
  6. Step 6: Final answer
    x = 1,486.74

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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.