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Finding the Fourth Proportional to 2,581.62, 3,563.01 and 1,463.01

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Solution

The fourth proportional to 2,581.62, 3,563.01 and 1,463.01 is: 2,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.62 : 3,563.01 = 1,463.01 : x
  2. Step 2: Convert to fraction form
    2,581.62/3,563.01 = 1,463.01/x
  3. Step 3: Cross multiply
    2,581.62x = 3,563.01 × 1,463.01
  4. Step 4: Simplify right side
    2,581.62x = 5,212,719.26
  5. Step 5: Solve for x
    x = 5,212,719.26/2,581.62
  6. Step 6: Final answer
    x = 2,019.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.