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Finding the Fourth Proportional to 2,404.54, 3,606.81 and 1,106.92

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Solution

The fourth proportional to 2,404.54, 3,606.81 and 1,106.92 is: 1,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.54 : 3,606.81 = 1,106.92 : x
  2. Step 2: Convert to fraction form
    2,404.54/3,606.81 = 1,106.92/x
  3. Step 3: Cross multiply
    2,404.54x = 3,606.81 × 1,106.92
  4. Step 4: Simplify right side
    2,404.54x = 3,992,450.13
  5. Step 5: Solve for x
    x = 3,992,450.13/2,404.54
  6. Step 6: Final answer
    x = 1,660.38

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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.