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Finding the Fourth Proportional to 3,302.82, 4,558.05 and 1,906.02

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Solution

The fourth proportional to 3,302.82, 4,558.05 and 1,906.02 is: 2,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.82 : 4,558.05 = 1,906.02 : x
  2. Step 2: Convert to fraction form
    3,302.82/4,558.05 = 1,906.02/x
  3. Step 3: Cross multiply
    3,302.82x = 4,558.05 × 1,906.02
  4. Step 4: Simplify right side
    3,302.82x = 8,687,734.46
  5. Step 5: Solve for x
    x = 8,687,734.46/3,302.82
  6. Step 6: Final answer
    x = 2,630.40

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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.