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Finding the Fourth Proportional to 2,297.03, 3,442.80 and 1,200.80

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Solution

The fourth proportional to 2,297.03, 3,442.80 and 1,200.80 is: 1,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.03 : 3,442.80 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    2,297.03/3,442.80 = 1,200.80/x
  3. Step 3: Cross multiply
    2,297.03x = 3,442.80 × 1,200.80
  4. Step 4: Simplify right side
    2,297.03x = 4,134,114.24
  5. Step 5: Solve for x
    x = 4,134,114.24/2,297.03
  6. Step 6: Final answer
    x = 1,799.77

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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.