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Finding the Fourth Proportional to 2,342.72, 3,233.04 and 1,514.72

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Solution

The fourth proportional to 2,342.72, 3,233.04 and 1,514.72 is: 2,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.72 : 3,233.04 = 1,514.72 : x
  2. Step 2: Convert to fraction form
    2,342.72/3,233.04 = 1,514.72/x
  3. Step 3: Cross multiply
    2,342.72x = 3,233.04 × 1,514.72
  4. Step 4: Simplify right side
    2,342.72x = 4,897,150.35
  5. Step 5: Solve for x
    x = 4,897,150.35/2,342.72
  6. Step 6: Final answer
    x = 2,090.37

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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.