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Finding the Fourth Proportional to 3,091.84, 4,267.24 and 1,973.24

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Solution

The fourth proportional to 3,091.84, 4,267.24 and 1,973.24 is: 2,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.84 : 4,267.24 = 1,973.24 : x
  2. Step 2: Convert to fraction form
    3,091.84/4,267.24 = 1,973.24/x
  3. Step 3: Cross multiply
    3,091.84x = 4,267.24 × 1,973.24
  4. Step 4: Simplify right side
    3,091.84x = 8,420,288.66
  5. Step 5: Solve for x
    x = 8,420,288.66/3,091.84
  6. Step 6: Final answer
    x = 2,723.39

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Double scale
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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.