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Finding the Fourth Proportional to 2,270.54, 3,406.13 and 1,230.68

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Solution

The fourth proportional to 2,270.54, 3,406.13 and 1,230.68 is: 1,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.54 : 3,406.13 = 1,230.68 : x
  2. Step 2: Convert to fraction form
    2,270.54/3,406.13 = 1,230.68/x
  3. Step 3: Cross multiply
    2,270.54x = 3,406.13 × 1,230.68
  4. Step 4: Simplify right side
    2,270.54x = 4,191,832.88
  5. Step 5: Solve for x
    x = 4,191,832.88/2,270.54
  6. Step 6: Final answer
    x = 1,846.19

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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.