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Finding the Fourth Proportional to 2,367.54, 3,551.82 and 906.69

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Solution

The fourth proportional to 2,367.54, 3,551.82 and 906.69 is: 1,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.54 : 3,551.82 = 906.69 : x
  2. Step 2: Convert to fraction form
    2,367.54/3,551.82 = 906.69/x
  3. Step 3: Cross multiply
    2,367.54x = 3,551.82 × 906.69
  4. Step 4: Simplify right side
    2,367.54x = 3,220,395.14
  5. Step 5: Solve for x
    x = 3,220,395.14/2,367.54
  6. Step 6: Final answer
    x = 1,360.23

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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.