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Finding the Fourth Proportional to 2,223.66, 3,335.49 and 836.22

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Solution

The fourth proportional to 2,223.66, 3,335.49 and 836.22 is: 1,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.66 : 3,335.49 = 836.22 : x
  2. Step 2: Convert to fraction form
    2,223.66/3,335.49 = 836.22/x
  3. Step 3: Cross multiply
    2,223.66x = 3,335.49 × 836.22
  4. Step 4: Simplify right side
    2,223.66x = 2,789,203.45
  5. Step 5: Solve for x
    x = 2,789,203.45/2,223.66
  6. Step 6: Final answer
    x = 1,254.33

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Double scale
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Similar ratio
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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.