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Finding the Fourth Proportional to 3,469.74, 4,788.27 and 1,897.74

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Solution

The fourth proportional to 3,469.74, 4,788.27 and 1,897.74 is: 2,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.74 : 4,788.27 = 1,897.74 : x
  2. Step 2: Convert to fraction form
    3,469.74/4,788.27 = 1,897.74/x
  3. Step 3: Cross multiply
    3,469.74x = 4,788.27 × 1,897.74
  4. Step 4: Simplify right side
    3,469.74x = 9,086,891.51
  5. Step 5: Solve for x
    x = 9,086,891.51/3,469.74
  6. Step 6: Final answer
    x = 2,618.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.