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Finding the Fourth Proportional to 2,301.10, 3,175.53 and 1,253.17

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Solution

The fourth proportional to 2,301.10, 3,175.53 and 1,253.17 is: 1,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.10 : 3,175.53 = 1,253.17 : x
  2. Step 2: Convert to fraction form
    2,301.10/3,175.53 = 1,253.17/x
  3. Step 3: Cross multiply
    2,301.10x = 3,175.53 × 1,253.17
  4. Step 4: Simplify right side
    2,301.10x = 3,979,478.93
  5. Step 5: Solve for x
    x = 3,979,478.93/2,301.10
  6. Step 6: Final answer
    x = 1,729.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.