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Finding the Fourth Proportional to 1,843.75, 2,546.54 and 1,221.67

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Solution

The fourth proportional to 1,843.75, 2,546.54 and 1,221.67 is: 1,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.75 : 2,546.54 = 1,221.67 : x
  2. Step 2: Convert to fraction form
    1,843.75/2,546.54 = 1,221.67/x
  3. Step 3: Cross multiply
    1,843.75x = 2,546.54 × 1,221.67
  4. Step 4: Simplify right side
    1,843.75x = 3,111,025.41
  5. Step 5: Solve for x
    x = 3,111,025.41/1,843.75
  6. Step 6: Final answer
    x = 1,687.34

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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.