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Finding the Fourth Proportional to 1,514.18, 2,089.56 and 851

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Solution

The fourth proportional to 1,514.18, 2,089.56 and 851 is: 1,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.18 : 2,089.56 = 851 : x
  2. Step 2: Convert to fraction form
    1,514.18/2,089.56 = 851/x
  3. Step 3: Cross multiply
    1,514.18x = 2,089.56 × 851
  4. Step 4: Simplify right side
    1,514.18x = 1,778,215.56
  5. Step 5: Solve for x
    x = 1,778,215.56/1,514.18
  6. Step 6: Final answer
    x = 1,174.38

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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.