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Finding the Fourth Proportional to 3,381, 4,665.87 and 2,204.16

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Solution

The fourth proportional to 3,381, 4,665.87 and 2,204.16 is: 3,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 4,665.87 = 2,204.16 : x
  2. Step 2: Convert to fraction form
    3,381/4,665.87 = 2,204.16/x
  3. Step 3: Cross multiply
    3,381x = 4,665.87 × 2,204.16
  4. Step 4: Simplify right side
    3,381x = 10,284,324.02
  5. Step 5: Solve for x
    x = 10,284,324.02/3,381
  6. Step 6: Final answer
    x = 3,041.80

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1.5x scale

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.