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Finding the Fourth Proportional to 2,469.86, 3,701.52 and 1,297.46

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Solution

The fourth proportional to 2,469.86, 3,701.52 and 1,297.46 is: 1,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.86 : 3,701.52 = 1,297.46 : x
  2. Step 2: Convert to fraction form
    2,469.86/3,701.52 = 1,297.46/x
  3. Step 3: Cross multiply
    2,469.86x = 3,701.52 × 1,297.46
  4. Step 4: Simplify right side
    2,469.86x = 4,802,588.02
  5. Step 5: Solve for x
    x = 4,802,588.02/2,469.86
  6. Step 6: Final answer
    x = 1,944.48

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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.