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Finding the Fourth Proportional to 2,469.13, 3,698.80 and 1,297.37

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Solution

The fourth proportional to 2,469.13, 3,698.80 and 1,297.37 is: 1,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.13 : 3,698.80 = 1,297.37 : x
  2. Step 2: Convert to fraction form
    2,469.13/3,698.80 = 1,297.37/x
  3. Step 3: Cross multiply
    2,469.13x = 3,698.80 × 1,297.37
  4. Step 4: Simplify right side
    2,469.13x = 4,798,712.16
  5. Step 5: Solve for x
    x = 4,798,712.16/2,469.13
  6. Step 6: Final answer
    x = 1,943.48

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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.