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Finding the Fourth Proportional to 2,292.01, 3,163.22 and 1,407.66

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Solution

The fourth proportional to 2,292.01, 3,163.22 and 1,407.66 is: 1,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.01 : 3,163.22 = 1,407.66 : x
  2. Step 2: Convert to fraction form
    2,292.01/3,163.22 = 1,407.66/x
  3. Step 3: Cross multiply
    2,292.01x = 3,163.22 × 1,407.66
  4. Step 4: Simplify right side
    2,292.01x = 4,452,738.27
  5. Step 5: Solve for x
    x = 4,452,738.27/2,292.01
  6. Step 6: Final answer
    x = 1,942.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.