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Finding the Fourth Proportional to 2,498.58, 3,746.80 and 855.29

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Solution

The fourth proportional to 2,498.58, 3,746.80 and 855.29 is: 1,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.58 : 3,746.80 = 855.29 : x
  2. Step 2: Convert to fraction form
    2,498.58/3,746.80 = 855.29/x
  3. Step 3: Cross multiply
    2,498.58x = 3,746.80 × 855.29
  4. Step 4: Simplify right side
    2,498.58x = 3,204,611.01
  5. Step 5: Solve for x
    x = 3,204,611.01/2,498.58
  6. Step 6: Final answer
    x = 1,282.57

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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.