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Finding the Fourth Proportional to 2,785.50, 3,843.89 and 1,666.17

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Solution

The fourth proportional to 2,785.50, 3,843.89 and 1,666.17 is: 2,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.50 : 3,843.89 = 1,666.17 : x
  2. Step 2: Convert to fraction form
    2,785.50/3,843.89 = 1,666.17/x
  3. Step 3: Cross multiply
    2,785.50x = 3,843.89 × 1,666.17
  4. Step 4: Simplify right side
    2,785.50x = 6,404,565.87
  5. Step 5: Solve for x
    x = 6,404,565.87/2,785.50
  6. Step 6: Final answer
    x = 2,299.25

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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.