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Finding the Fourth Proportional to 2,469.69, 3,698.87 and 1,577.88

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Solution

The fourth proportional to 2,469.69, 3,698.87 and 1,577.88 is: 2,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.69 : 3,698.87 = 1,577.88 : x
  2. Step 2: Convert to fraction form
    2,469.69/3,698.87 = 1,577.88/x
  3. Step 3: Cross multiply
    2,469.69x = 3,698.87 × 1,577.88
  4. Step 4: Simplify right side
    2,469.69x = 5,836,365.11
  5. Step 5: Solve for x
    x = 5,836,365.11/2,469.69
  6. Step 6: Final answer
    x = 2,363.20

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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.