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Finding the Fourth Proportional to 2,498.51, 3,747.77 and 855.07

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Solution

The fourth proportional to 2,498.51, 3,747.77 and 855.07 is: 1,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.51 : 3,747.77 = 855.07 : x
  2. Step 2: Convert to fraction form
    2,498.51/3,747.77 = 855.07/x
  3. Step 3: Cross multiply
    2,498.51x = 3,747.77 × 855.07
  4. Step 4: Simplify right side
    2,498.51x = 3,204,605.69
  5. Step 5: Solve for x
    x = 3,204,605.69/2,498.51
  6. Step 6: Final answer
    x = 1,282.61

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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.