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Finding the Fourth Proportional to 2,597.77, 3,896.01 and 1,209.79

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Solution

The fourth proportional to 2,597.77, 3,896.01 and 1,209.79 is: 1,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.77 : 3,896.01 = 1,209.79 : x
  2. Step 2: Convert to fraction form
    2,597.77/3,896.01 = 1,209.79/x
  3. Step 3: Cross multiply
    2,597.77x = 3,896.01 × 1,209.79
  4. Step 4: Simplify right side
    2,597.77x = 4,713,353.94
  5. Step 5: Solve for x
    x = 4,713,353.94/2,597.77
  6. Step 6: Final answer
    x = 1,814.38

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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.