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Finding the Fourth Proportional to 2,367.92, 3,551.92 and 906.72

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Solution

The fourth proportional to 2,367.92, 3,551.92 and 906.72 is: 1,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.92 : 3,551.92 = 906.72 : x
  2. Step 2: Convert to fraction form
    2,367.92/3,551.92 = 906.72/x
  3. Step 3: Cross multiply
    2,367.92x = 3,551.92 × 906.72
  4. Step 4: Simplify right side
    2,367.92x = 3,220,596.90
  5. Step 5: Solve for x
    x = 3,220,596.90/2,367.92
  6. Step 6: Final answer
    x = 1,360.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.