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Finding the Fourth Proportional to 2,300.98, 3,175.36 and 1,253.04

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Solution

The fourth proportional to 2,300.98, 3,175.36 and 1,253.04 is: 1,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.98 : 3,175.36 = 1,253.04 : x
  2. Step 2: Convert to fraction form
    2,300.98/3,175.36 = 1,253.04/x
  3. Step 3: Cross multiply
    2,300.98x = 3,175.36 × 1,253.04
  4. Step 4: Simplify right side
    2,300.98x = 3,978,853.09
  5. Step 5: Solve for x
    x = 3,978,853.09/2,300.98
  6. Step 6: Final answer
    x = 1,729.20

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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.