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Finding the Fourth Proportional to 2,194.96, 3,029.11 and 1,200.22

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Solution

The fourth proportional to 2,194.96, 3,029.11 and 1,200.22 is: 1,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.96 : 3,029.11 = 1,200.22 : x
  2. Step 2: Convert to fraction form
    2,194.96/3,029.11 = 1,200.22/x
  3. Step 3: Cross multiply
    2,194.96x = 3,029.11 × 1,200.22
  4. Step 4: Simplify right side
    2,194.96x = 3,635,598.40
  5. Step 5: Solve for x
    x = 3,635,598.40/2,194.96
  6. Step 6: Final answer
    x = 1,656.34

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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.