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Finding the Fourth Proportional to 2,194.91, 3,029.03 and 1,200.23

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Solution

The fourth proportional to 2,194.91, 3,029.03 and 1,200.23 is: 1,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.91 : 3,029.03 = 1,200.23 : x
  2. Step 2: Convert to fraction form
    2,194.91/3,029.03 = 1,200.23/x
  3. Step 3: Cross multiply
    2,194.91x = 3,029.03 × 1,200.23
  4. Step 4: Simplify right side
    2,194.91x = 3,635,526.68
  5. Step 5: Solve for x
    x = 3,635,526.68/2,194.91
  6. Step 6: Final answer
    x = 1,656.34

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Half scale
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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.