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Finding the Fourth Proportional to 1,494.27, 2,241.50 and 845.55

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Solution

The fourth proportional to 1,494.27, 2,241.50 and 845.55 is: 1,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.27 : 2,241.50 = 845.55 : x
  2. Step 2: Convert to fraction form
    1,494.27/2,241.50 = 845.55/x
  3. Step 3: Cross multiply
    1,494.27x = 2,241.50 × 845.55
  4. Step 4: Simplify right side
    1,494.27x = 1,895,296.10
  5. Step 5: Solve for x
    x = 1,895,296.10/1,494.27
  6. Step 6: Final answer
    x = 1,268.38

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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.