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Finding the Fourth Proportional to 2,057.49, 3,086.19 and 741.20

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Solution

The fourth proportional to 2,057.49, 3,086.19 and 741.20 is: 1,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.49 : 3,086.19 = 741.20 : x
  2. Step 2: Convert to fraction form
    2,057.49/3,086.19 = 741.20/x
  3. Step 3: Cross multiply
    2,057.49x = 3,086.19 × 741.20
  4. Step 4: Simplify right side
    2,057.49x = 2,287,468.60
  5. Step 5: Solve for x
    x = 2,287,468.60/2,057.49
  6. Step 6: Final answer
    x = 1,111.78

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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.