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Finding the Fourth Proportional to 1,814.83, 2,721.78 and 774.31

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Solution

The fourth proportional to 1,814.83, 2,721.78 and 774.31 is: 1,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.83 : 2,721.78 = 774.31 : x
  2. Step 2: Convert to fraction form
    1,814.83/2,721.78 = 774.31/x
  3. Step 3: Cross multiply
    1,814.83x = 2,721.78 × 774.31
  4. Step 4: Simplify right side
    1,814.83x = 2,107,501.47
  5. Step 5: Solve for x
    x = 2,107,501.47/1,814.83
  6. Step 6: Final answer
    x = 1,161.27

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