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Finding the Fourth Proportional to 3,392, 4,680.90 and 1,899.90

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Solution

The fourth proportional to 3,392, 4,680.90 and 1,899.90 is: 2,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392 : 4,680.90 = 1,899.90 : x
  2. Step 2: Convert to fraction form
    3,392/4,680.90 = 1,899.90/x
  3. Step 3: Cross multiply
    3,392x = 4,680.90 × 1,899.90
  4. Step 4: Simplify right side
    3,392x = 8,893,241.91
  5. Step 5: Solve for x
    x = 8,893,241.91/3,392
  6. Step 6: Final answer
    x = 2,621.83

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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.