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Finding the Fourth Proportional to 3,446.61, 5,165.29 and 1,884.27

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Solution

The fourth proportional to 3,446.61, 5,165.29 and 1,884.27 is: 2,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.61 : 5,165.29 = 1,884.27 : x
  2. Step 2: Convert to fraction form
    3,446.61/5,165.29 = 1,884.27/x
  3. Step 3: Cross multiply
    3,446.61x = 5,165.29 × 1,884.27
  4. Step 4: Simplify right side
    3,446.61x = 9,732,791.57
  5. Step 5: Solve for x
    x = 9,732,791.57/3,446.61
  6. Step 6: Final answer
    x = 2,823.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.