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Finding the Fourth Proportional to 2,297.08, 3,170.21 and 1,302.43

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Solution

The fourth proportional to 2,297.08, 3,170.21 and 1,302.43 is: 1,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.08 : 3,170.21 = 1,302.43 : x
  2. Step 2: Convert to fraction form
    2,297.08/3,170.21 = 1,302.43/x
  3. Step 3: Cross multiply
    2,297.08x = 3,170.21 × 1,302.43
  4. Step 4: Simplify right side
    2,297.08x = 4,128,979.11
  5. Step 5: Solve for x
    x = 4,128,979.11/2,297.08
  6. Step 6: Final answer
    x = 1,797.49

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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.