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Finding the Fourth Proportional to 2,865.48, 4,297.62 and 813

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Solution

The fourth proportional to 2,865.48, 4,297.62 and 813 is: 1,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.48 : 4,297.62 = 813 : x
  2. Step 2: Convert to fraction form
    2,865.48/4,297.62 = 813/x
  3. Step 3: Cross multiply
    2,865.48x = 4,297.62 × 813
  4. Step 4: Simplify right side
    2,865.48x = 3,493,965.06
  5. Step 5: Solve for x
    x = 3,493,965.06/2,865.48
  6. Step 6: Final answer
    x = 1,219.33

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Why These Related Problems?

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