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Finding the Fourth Proportional to 2,297.48, 3,170.24 and 1,289.24

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Solution

The fourth proportional to 2,297.48, 3,170.24 and 1,289.24 is: 1,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.48 : 3,170.24 = 1,289.24 : x
  2. Step 2: Convert to fraction form
    2,297.48/3,170.24 = 1,289.24/x
  3. Step 3: Cross multiply
    2,297.48x = 3,170.24 × 1,289.24
  4. Step 4: Simplify right side
    2,297.48x = 4,087,177.92
  5. Step 5: Solve for x
    x = 4,087,177.92/2,297.48
  6. Step 6: Final answer
    x = 1,778.99

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