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Finding the Fourth Proportional to 2,928.22, 4,046.37 and 2,534.56

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Solution

The fourth proportional to 2,928.22, 4,046.37 and 2,534.56 is: 3,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.22 : 4,046.37 = 2,534.56 : x
  2. Step 2: Convert to fraction form
    2,928.22/4,046.37 = 2,534.56/x
  3. Step 3: Cross multiply
    2,928.22x = 4,046.37 × 2,534.56
  4. Step 4: Simplify right side
    2,928.22x = 10,255,767.55
  5. Step 5: Solve for x
    x = 10,255,767.55/2,928.22
  6. Step 6: Final answer
    x = 3,502.39

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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.