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Finding the Fourth Proportional to 2,390.05, 3,581.03 and 1,463.68

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Solution

The fourth proportional to 2,390.05, 3,581.03 and 1,463.68 is: 2,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.05 : 3,581.03 = 1,463.68 : x
  2. Step 2: Convert to fraction form
    2,390.05/3,581.03 = 1,463.68/x
  3. Step 3: Cross multiply
    2,390.05x = 3,581.03 × 1,463.68
  4. Step 4: Simplify right side
    2,390.05x = 5,241,464.09
  5. Step 5: Solve for x
    x = 5,241,464.09/2,390.05
  6. Step 6: Final answer
    x = 2,193.04

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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.