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Finding the Fourth Proportional to 3,084.76, 4,257.24 and 1,825.18

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Solution

The fourth proportional to 3,084.76, 4,257.24 and 1,825.18 is: 2,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.76 : 4,257.24 = 1,825.18 : x
  2. Step 2: Convert to fraction form
    3,084.76/4,257.24 = 1,825.18/x
  3. Step 3: Cross multiply
    3,084.76x = 4,257.24 × 1,825.18
  4. Step 4: Simplify right side
    3,084.76x = 7,770,211.82
  5. Step 5: Solve for x
    x = 7,770,211.82/3,084.76
  6. Step 6: Final answer
    x = 2,518.91

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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.