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Finding the Fourth Proportional to 2,785.78, 3,843.70 and 1,667.14

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Solution

The fourth proportional to 2,785.78, 3,843.70 and 1,667.14 is: 2,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.78 : 3,843.70 = 1,667.14 : x
  2. Step 2: Convert to fraction form
    2,785.78/3,843.70 = 1,667.14/x
  3. Step 3: Cross multiply
    2,785.78x = 3,843.70 × 1,667.14
  4. Step 4: Simplify right side
    2,785.78x = 6,407,986.02
  5. Step 5: Solve for x
    x = 6,407,986.02/2,785.78
  6. Step 6: Final answer
    x = 2,300.25

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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.