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Finding the Fourth Proportional to 3,469.64, 4,788.08 and 1,897.76

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Solution

The fourth proportional to 3,469.64, 4,788.08 and 1,897.76 is: 2,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.64 : 4,788.08 = 1,897.76 : x
  2. Step 2: Convert to fraction form
    3,469.64/4,788.08 = 1,897.76/x
  3. Step 3: Cross multiply
    3,469.64x = 4,788.08 × 1,897.76
  4. Step 4: Simplify right side
    3,469.64x = 9,086,626.70
  5. Step 5: Solve for x
    x = 9,086,626.70/3,469.64
  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.