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Finding the Fourth Proportional to 1,494.52, 2,255.16 and 1,434.58

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Solution

The fourth proportional to 1,494.52, 2,255.16 and 1,434.58 is: 2,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.52 : 2,255.16 = 1,434.58 : x
  2. Step 2: Convert to fraction form
    1,494.52/2,255.16 = 1,434.58/x
  3. Step 3: Cross multiply
    1,494.52x = 2,255.16 × 1,434.58
  4. Step 4: Simplify right side
    1,494.52x = 3,235,207.43
  5. Step 5: Solve for x
    x = 3,235,207.43/1,494.52
  6. Step 6: Final answer
    x = 2,164.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.