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Finding the Fourth Proportional to 2,297.43, 3,170.73 and 1,302.88

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Solution

The fourth proportional to 2,297.43, 3,170.73 and 1,302.88 is: 1,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.43 : 3,170.73 = 1,302.88 : x
  2. Step 2: Convert to fraction form
    2,297.43/3,170.73 = 1,302.88/x
  3. Step 3: Cross multiply
    2,297.43x = 3,170.73 × 1,302.88
  4. Step 4: Simplify right side
    2,297.43x = 4,131,080.70
  5. Step 5: Solve for x
    x = 4,131,080.70/2,297.43
  6. Step 6: Final answer
    x = 1,798.13

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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.