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Finding the Fourth Proportional to 2,841.46, 4,258.24 and 2,147.56

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Solution

The fourth proportional to 2,841.46, 4,258.24 and 2,147.56 is: 3,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.46 : 4,258.24 = 2,147.56 : x
  2. Step 2: Convert to fraction form
    2,841.46/4,258.24 = 2,147.56/x
  3. Step 3: Cross multiply
    2,841.46x = 4,258.24 × 2,147.56
  4. Step 4: Simplify right side
    2,841.46x = 9,144,825.89
  5. Step 5: Solve for x
    x = 9,144,825.89/2,841.46
  6. Step 6: Final answer
    x = 3,218.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.