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Finding the Fourth Proportional to 2,305.93, 3,177.57 and 1,606.09

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Solution

The fourth proportional to 2,305.93, 3,177.57 and 1,606.09 is: 2,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.93 : 3,177.57 = 1,606.09 : x
  2. Step 2: Convert to fraction form
    2,305.93/3,177.57 = 1,606.09/x
  3. Step 3: Cross multiply
    2,305.93x = 3,177.57 × 1,606.09
  4. Step 4: Simplify right side
    2,305.93x = 5,103,463.40
  5. Step 5: Solve for x
    x = 5,103,463.40/2,305.93
  6. Step 6: Final answer
    x = 2,213.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.