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Finding the Fourth Proportional to 2,297.97, 3,171.21 and 1,303.26

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Solution

The fourth proportional to 2,297.97, 3,171.21 and 1,303.26 is: 1,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.97 : 3,171.21 = 1,303.26 : x
  2. Step 2: Convert to fraction form
    2,297.97/3,171.21 = 1,303.26/x
  3. Step 3: Cross multiply
    2,297.97x = 3,171.21 × 1,303.26
  4. Step 4: Simplify right side
    2,297.97x = 4,132,911.14
  5. Step 5: Solve for x
    x = 4,132,911.14/2,297.97
  6. Step 6: Final answer
    x = 1,798.51

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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.