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Finding the Fourth Proportional to 1,814.58, 2,722.47 and 774.13

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Solution

The fourth proportional to 1,814.58, 2,722.47 and 774.13 is: 1,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.58 : 2,722.47 = 774.13 : x
  2. Step 2: Convert to fraction form
    1,814.58/2,722.47 = 774.13/x
  3. Step 3: Cross multiply
    1,814.58x = 2,722.47 × 774.13
  4. Step 4: Simplify right side
    1,814.58x = 2,107,545.70
  5. Step 5: Solve for x
    x = 2,107,545.70/1,814.58
  6. Step 6: Final answer
    x = 1,161.45

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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.