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Finding the Fourth Proportional to 3,104.39, 4,284.43 and 1,778.52

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Solution

The fourth proportional to 3,104.39, 4,284.43 and 1,778.52 is: 2,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.39 : 4,284.43 = 1,778.52 : x
  2. Step 2: Convert to fraction form
    3,104.39/4,284.43 = 1,778.52/x
  3. Step 3: Cross multiply
    3,104.39x = 4,284.43 × 1,778.52
  4. Step 4: Simplify right side
    3,104.39x = 7,619,956.06
  5. Step 5: Solve for x
    x = 7,619,956.06/3,104.39
  6. Step 6: Final answer
    x = 2,454.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.