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Finding the Fourth Proportional to 2,078.60, 2,866.20 and 2,057.54

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Solution

The fourth proportional to 2,078.60, 2,866.20 and 2,057.54 is: 2,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.60 : 2,866.20 = 2,057.54 : x
  2. Step 2: Convert to fraction form
    2,078.60/2,866.20 = 2,057.54/x
  3. Step 3: Cross multiply
    2,078.60x = 2,866.20 × 2,057.54
  4. Step 4: Simplify right side
    2,078.60x = 5,897,321.15
  5. Step 5: Solve for x
    x = 5,897,321.15/2,078.60
  6. Step 6: Final answer
    x = 2,837.16

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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.