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Finding the Fourth Proportional to 2,297.01, 3,169.86 and 1,302.48

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Solution

The fourth proportional to 2,297.01, 3,169.86 and 1,302.48 is: 1,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.01 : 3,169.86 = 1,302.48 : x
  2. Step 2: Convert to fraction form
    2,297.01/3,169.86 = 1,302.48/x
  3. Step 3: Cross multiply
    2,297.01x = 3,169.86 × 1,302.48
  4. Step 4: Simplify right side
    2,297.01x = 4,128,679.25
  5. Step 5: Solve for x
    x = 4,128,679.25/2,297.01
  6. Step 6: Final answer
    x = 1,797.41

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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.