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Finding the Fourth Proportional to 1,514.26, 2,270.01 and 781.62

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Solution

The fourth proportional to 1,514.26, 2,270.01 and 781.62 is: 1,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.26 : 2,270.01 = 781.62 : x
  2. Step 2: Convert to fraction form
    1,514.26/2,270.01 = 781.62/x
  3. Step 3: Cross multiply
    1,514.26x = 2,270.01 × 781.62
  4. Step 4: Simplify right side
    1,514.26x = 1,774,279.63
  5. Step 5: Solve for x
    x = 1,774,279.63/1,514.26
  6. Step 6: Final answer
    x = 1,171.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.