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Finding the Fourth Proportional to 2,302.51, 3,174.12 and 1,593.27

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Solution

The fourth proportional to 2,302.51, 3,174.12 and 1,593.27 is: 2,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.51 : 3,174.12 = 1,593.27 : x
  2. Step 2: Convert to fraction form
    2,302.51/3,174.12 = 1,593.27/x
  3. Step 3: Cross multiply
    2,302.51x = 3,174.12 × 1,593.27
  4. Step 4: Simplify right side
    2,302.51x = 5,057,226.19
  5. Step 5: Solve for x
    x = 5,057,226.19/2,302.51
  6. Step 6: Final answer
    x = 2,196.40

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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.