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Finding the Fourth Proportional to 2,797.74, 4,196.01 and 1,410.66

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Solution

The fourth proportional to 2,797.74, 4,196.01 and 1,410.66 is: 2,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.74 : 4,196.01 = 1,410.66 : x
  2. Step 2: Convert to fraction form
    2,797.74/4,196.01 = 1,410.66/x
  3. Step 3: Cross multiply
    2,797.74x = 4,196.01 × 1,410.66
  4. Step 4: Simplify right side
    2,797.74x = 5,919,143.47
  5. Step 5: Solve for x
    x = 5,919,143.47/2,797.74
  6. Step 6: Final answer
    x = 2,115.69

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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.