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Finding the Fourth Proportional to 1,814.09, 2,722.22 and 659.93

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Solution

The fourth proportional to 1,814.09, 2,722.22 and 659.93 is: 990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.09 : 2,722.22 = 659.93 : x
  2. Step 2: Convert to fraction form
    1,814.09/2,722.22 = 659.93/x
  3. Step 3: Cross multiply
    1,814.09x = 2,722.22 × 659.93
  4. Step 4: Simplify right side
    1,814.09x = 1,796,474.64
  5. Step 5: Solve for x
    x = 1,796,474.64/1,814.09
  6. Step 6: Final answer
    x = 990.29

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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.