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Finding the Fourth Proportional to 2,493.17, 3,738.82 and 826.98

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Solution

The fourth proportional to 2,493.17, 3,738.82 and 826.98 is: 1,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.17 : 3,738.82 = 826.98 : x
  2. Step 2: Convert to fraction form
    2,493.17/3,738.82 = 826.98/x
  3. Step 3: Cross multiply
    2,493.17x = 3,738.82 × 826.98
  4. Step 4: Simplify right side
    2,493.17x = 3,091,929.36
  5. Step 5: Solve for x
    x = 3,091,929.36/2,493.17
  6. Step 6: Final answer
    x = 1,240.16

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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.