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Finding the Fourth Proportional to 3,084.77, 4,257.14 and 1,826.55

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Solution

The fourth proportional to 3,084.77, 4,257.14 and 1,826.55 is: 2,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.77 : 4,257.14 = 1,826.55 : x
  2. Step 2: Convert to fraction form
    3,084.77/4,257.14 = 1,826.55/x
  3. Step 3: Cross multiply
    3,084.77x = 4,257.14 × 1,826.55
  4. Step 4: Simplify right side
    3,084.77x = 7,775,879.07
  5. Step 5: Solve for x
    x = 7,775,879.07/3,084.77
  6. Step 6: Final answer
    x = 2,520.73

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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.