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Finding the Fourth Proportional to 3,073, 4,241.06 and 1,894.04

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Solution

The fourth proportional to 3,073, 4,241.06 and 1,894.04 is: 2,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073 : 4,241.06 = 1,894.04 : x
  2. Step 2: Convert to fraction form
    3,073/4,241.06 = 1,894.04/x
  3. Step 3: Cross multiply
    3,073x = 4,241.06 × 1,894.04
  4. Step 4: Simplify right side
    3,073x = 8,032,737.28
  5. Step 5: Solve for x
    x = 8,032,737.28/3,073
  6. Step 6: Final answer
    x = 2,613.97

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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.