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Finding the Fourth Proportional to 3,223.49, 4,449.08 and 1,826.51

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Solution

The fourth proportional to 3,223.49, 4,449.08 and 1,826.51 is: 2,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.49 : 4,449.08 = 1,826.51 : x
  2. Step 2: Convert to fraction form
    3,223.49/4,449.08 = 1,826.51/x
  3. Step 3: Cross multiply
    3,223.49x = 4,449.08 × 1,826.51
  4. Step 4: Simplify right side
    3,223.49x = 8,126,279.98
  5. Step 5: Solve for x
    x = 8,126,279.98/3,223.49
  6. Step 6: Final answer
    x = 2,520.96

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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.