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Finding the Fourth Proportional to 3,223, 4,447.74 and 1,826.20

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Solution

The fourth proportional to 3,223, 4,447.74 and 1,826.20 is: 2,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223 : 4,447.74 = 1,826.20 : x
  2. Step 2: Convert to fraction form
    3,223/4,447.74 = 1,826.20/x
  3. Step 3: Cross multiply
    3,223x = 4,447.74 × 1,826.20
  4. Step 4: Simplify right side
    3,223x = 8,122,462.79
  5. Step 5: Solve for x
    x = 8,122,462.79/3,223
  6. Step 6: Final answer
    x = 2,520.16

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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.