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Finding the Fourth Proportional to 3,106.95, 4,650.76 and 2,322.33

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Solution

The fourth proportional to 3,106.95, 4,650.76 and 2,322.33 is: 3,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.95 : 4,650.76 = 2,322.33 : x
  2. Step 2: Convert to fraction form
    3,106.95/4,650.76 = 2,322.33/x
  3. Step 3: Cross multiply
    3,106.95x = 4,650.76 × 2,322.33
  4. Step 4: Simplify right side
    3,106.95x = 10,800,599.47
  5. Step 5: Solve for x
    x = 10,800,599.47/3,106.95
  6. Step 6: Final answer
    x = 3,476.27

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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.