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Finding the Fourth Proportional to 2,754.74, 4,132.55 and 905.42

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Solution

The fourth proportional to 2,754.74, 4,132.55 and 905.42 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.74 : 4,132.55 = 905.42 : x
  2. Step 2: Convert to fraction form
    2,754.74/4,132.55 = 905.42/x
  3. Step 3: Cross multiply
    2,754.74x = 4,132.55 × 905.42
  4. Step 4: Simplify right side
    2,754.74x = 3,741,693.42
  5. Step 5: Solve for x
    x = 3,741,693.42/2,754.74
  6. Step 6: Final answer
    x = 1,358.27

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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.