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Finding the Fourth Proportional to 2,865.87, 4,297.98 and 1,305

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Solution

The fourth proportional to 2,865.87, 4,297.98 and 1,305 is: 1,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.87 : 4,297.98 = 1,305 : x
  2. Step 2: Convert to fraction form
    2,865.87/4,297.98 = 1,305/x
  3. Step 3: Cross multiply
    2,865.87x = 4,297.98 × 1,305
  4. Step 4: Simplify right side
    2,865.87x = 5,608,863.90
  5. Step 5: Solve for x
    x = 5,608,863.90/2,865.87
  6. Step 6: Final answer
    x = 1,957.12

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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.