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Finding the Fourth Proportional to 1,777.26, 2,666.22 and 723.12

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Solution

The fourth proportional to 1,777.26, 2,666.22 and 723.12 is: 1,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.26 : 2,666.22 = 723.12 : x
  2. Step 2: Convert to fraction form
    1,777.26/2,666.22 = 723.12/x
  3. Step 3: Cross multiply
    1,777.26x = 2,666.22 × 723.12
  4. Step 4: Simplify right side
    1,777.26x = 1,927,997.01
  5. Step 5: Solve for x
    x = 1,927,997.01/1,777.26
  6. Step 6: Final answer
    x = 1,084.81

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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.