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Finding the Fourth Proportional to 4,184.92, 6,275.92 and 1,222.54

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Solution

The fourth proportional to 4,184.92, 6,275.92 and 1,222.54 is: 1,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.92 : 6,275.92 = 1,222.54 : x
  2. Step 2: Convert to fraction form
    4,184.92/6,275.92 = 1,222.54/x
  3. Step 3: Cross multiply
    4,184.92x = 6,275.92 × 1,222.54
  4. Step 4: Simplify right side
    4,184.92x = 7,672,563.24
  5. Step 5: Solve for x
    x = 7,672,563.24/4,184.92
  6. Step 6: Final answer
    x = 1,833.38

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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.