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Finding the Fourth Proportional to 1,468.92, 2,202.21 and 1,005.54

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Solution

The fourth proportional to 1,468.92, 2,202.21 and 1,005.54 is: 1,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.92 : 2,202.21 = 1,005.54 : x
  2. Step 2: Convert to fraction form
    1,468.92/2,202.21 = 1,005.54/x
  3. Step 3: Cross multiply
    1,468.92x = 2,202.21 × 1,005.54
  4. Step 4: Simplify right side
    1,468.92x = 2,214,410.24
  5. Step 5: Solve for x
    x = 2,214,410.24/1,468.92
  6. Step 6: Final answer
    x = 1,507.51

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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.