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Finding the Fourth Proportional to 2,245.92, 3,101.04 and 1,362.92

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Solution

The fourth proportional to 2,245.92, 3,101.04 and 1,362.92 is: 1,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.92 : 3,101.04 = 1,362.92 : x
  2. Step 2: Convert to fraction form
    2,245.92/3,101.04 = 1,362.92/x
  3. Step 3: Cross multiply
    2,245.92x = 3,101.04 × 1,362.92
  4. Step 4: Simplify right side
    2,245.92x = 4,226,453.93
  5. Step 5: Solve for x
    x = 4,226,453.93/2,245.92
  6. Step 6: Final answer
    x = 1,881.84

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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.