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Finding the Fourth Proportional to 2,203.60, 3,305.24 and 742.80

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Solution

The fourth proportional to 2,203.60, 3,305.24 and 742.80 is: 1,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.60 : 3,305.24 = 742.80 : x
  2. Step 2: Convert to fraction form
    2,203.60/3,305.24 = 742.80/x
  3. Step 3: Cross multiply
    2,203.60x = 3,305.24 × 742.80
  4. Step 4: Simplify right side
    2,203.60x = 2,455,132.27
  5. Step 5: Solve for x
    x = 2,455,132.27/2,203.60
  6. Step 6: Final answer
    x = 1,114.15

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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.