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Finding the Fourth Proportional to 2,048.97, 3,073.44 and 732.68

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Solution

The fourth proportional to 2,048.97, 3,073.44 and 732.68 is: 1,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.97 : 3,073.44 = 732.68 : x
  2. Step 2: Convert to fraction form
    2,048.97/3,073.44 = 732.68/x
  3. Step 3: Cross multiply
    2,048.97x = 3,073.44 × 732.68
  4. Step 4: Simplify right side
    2,048.97x = 2,251,832.65
  5. Step 5: Solve for x
    x = 2,251,832.65/2,048.97
  6. Step 6: Final answer
    x = 1,099.01

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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.