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Finding the Fourth Proportional to 2,040.36, 3,061.05 and 998.94

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Solution

The fourth proportional to 2,040.36, 3,061.05 and 998.94 is: 1,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.36 : 3,061.05 = 998.94 : x
  2. Step 2: Convert to fraction form
    2,040.36/3,061.05 = 998.94/x
  3. Step 3: Cross multiply
    2,040.36x = 3,061.05 × 998.94
  4. Step 4: Simplify right side
    2,040.36x = 3,057,805.29
  5. Step 5: Solve for x
    x = 3,057,805.29/2,040.36
  6. Step 6: Final answer
    x = 1,498.66

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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.