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Finding the Fourth Proportional to 2,074.86, 2,854.92 and 2,025.66

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Solution

The fourth proportional to 2,074.86, 2,854.92 and 2,025.66 is: 2,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.86 : 2,854.92 = 2,025.66 : x
  2. Step 2: Convert to fraction form
    2,074.86/2,854.92 = 2,025.66/x
  3. Step 3: Cross multiply
    2,074.86x = 2,854.92 × 2,025.66
  4. Step 4: Simplify right side
    2,074.86x = 5,783,097.25
  5. Step 5: Solve for x
    x = 5,783,097.25/2,074.86
  6. Step 6: Final answer
    x = 2,787.22

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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.