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Finding the Fourth Proportional to 2,785.78, 3,843.80 and 1,666.30

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Solution

The fourth proportional to 2,785.78, 3,843.80 and 1,666.30 is: 2,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.78 : 3,843.80 = 1,666.30 : x
  2. Step 2: Convert to fraction form
    2,785.78/3,843.80 = 1,666.30/x
  3. Step 3: Cross multiply
    2,785.78x = 3,843.80 × 1,666.30
  4. Step 4: Simplify right side
    2,785.78x = 6,404,923.94
  5. Step 5: Solve for x
    x = 6,404,923.94/2,785.78
  6. Step 6: Final answer
    x = 2,299.15

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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.