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Finding the Fourth Proportional to 1,814.17, 2,721.36 and 773.14

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Solution

The fourth proportional to 1,814.17, 2,721.36 and 773.14 is: 1,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.17 : 2,721.36 = 773.14 : x
  2. Step 2: Convert to fraction form
    1,814.17/2,721.36 = 773.14/x
  3. Step 3: Cross multiply
    1,814.17x = 2,721.36 × 773.14
  4. Step 4: Simplify right side
    1,814.17x = 2,103,992.27
  5. Step 5: Solve for x
    x = 2,103,992.27/1,814.17
  6. Step 6: Final answer
    x = 1,159.75

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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.