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Finding the Fourth Proportional to 2,388.89, 3,583.44 and 1,463.87

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Solution

The fourth proportional to 2,388.89, 3,583.44 and 1,463.87 is: 2,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.89 : 3,583.44 = 1,463.87 : x
  2. Step 2: Convert to fraction form
    2,388.89/3,583.44 = 1,463.87/x
  3. Step 3: Cross multiply
    2,388.89x = 3,583.44 × 1,463.87
  4. Step 4: Simplify right side
    2,388.89x = 5,245,699.27
  5. Step 5: Solve for x
    x = 5,245,699.27/2,388.89
  6. Step 6: Final answer
    x = 2,195.87

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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.