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Finding the Fourth Proportional to 2,204.07, 3,305.93 and 816.77

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Solution

The fourth proportional to 2,204.07, 3,305.93 and 816.77 is: 1,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.07 : 3,305.93 = 816.77 : x
  2. Step 2: Convert to fraction form
    2,204.07/3,305.93 = 816.77/x
  3. Step 3: Cross multiply
    2,204.07x = 3,305.93 × 816.77
  4. Step 4: Simplify right side
    2,204.07x = 2,700,163.83
  5. Step 5: Solve for x
    x = 2,700,163.83/2,204.07
  6. Step 6: Final answer
    x = 1,225.08

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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.