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Finding the Fourth Proportional to 2,406.74, 3,609.49 and 945.90

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Solution

The fourth proportional to 2,406.74, 3,609.49 and 945.90 is: 1,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.74 : 3,609.49 = 945.90 : x
  2. Step 2: Convert to fraction form
    2,406.74/3,609.49 = 945.90/x
  3. Step 3: Cross multiply
    2,406.74x = 3,609.49 × 945.90
  4. Step 4: Simplify right side
    2,406.74x = 3,414,216.59
  5. Step 5: Solve for x
    x = 3,414,216.59/2,406.74
  6. Step 6: Final answer
    x = 1,418.61

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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.