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Finding the Fourth Proportional to 2,033.51, 3,049.25 and 993.06

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Solution

The fourth proportional to 2,033.51, 3,049.25 and 993.06 is: 1,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.51 : 3,049.25 = 993.06 : x
  2. Step 2: Convert to fraction form
    2,033.51/3,049.25 = 993.06/x
  3. Step 3: Cross multiply
    2,033.51x = 3,049.25 × 993.06
  4. Step 4: Simplify right side
    2,033.51x = 3,028,083.24
  5. Step 5: Solve for x
    x = 3,028,083.24/2,033.51
  6. Step 6: Final answer
    x = 1,489.10

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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.