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Finding the Fourth Proportional to 3,398.19, 4,689.67 and 1,906.02

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Solution

The fourth proportional to 3,398.19, 4,689.67 and 1,906.02 is: 2,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.19 : 4,689.67 = 1,906.02 : x
  2. Step 2: Convert to fraction form
    3,398.19/4,689.67 = 1,906.02/x
  3. Step 3: Cross multiply
    3,398.19x = 4,689.67 × 1,906.02
  4. Step 4: Simplify right side
    3,398.19x = 8,938,604.81
  5. Step 5: Solve for x
    x = 8,938,604.81/3,398.19
  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.