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Finding the Fourth Proportional to 2,213.68, 3,320.68 and 826.98

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Solution

The fourth proportional to 2,213.68, 3,320.68 and 826.98 is: 1,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.68 : 3,320.68 = 826.98 : x
  2. Step 2: Convert to fraction form
    2,213.68/3,320.68 = 826.98/x
  3. Step 3: Cross multiply
    2,213.68x = 3,320.68 × 826.98
  4. Step 4: Simplify right side
    2,213.68x = 2,746,135.95
  5. Step 5: Solve for x
    x = 2,746,135.95/2,213.68
  6. Step 6: Final answer
    x = 1,240.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.