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Finding the Fourth Proportional to 2,566.45, 3,846.93 and 922.54

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Solution

The fourth proportional to 2,566.45, 3,846.93 and 922.54 is: 1,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.45 : 3,846.93 = 922.54 : x
  2. Step 2: Convert to fraction form
    2,566.45/3,846.93 = 922.54/x
  3. Step 3: Cross multiply
    2,566.45x = 3,846.93 × 922.54
  4. Step 4: Simplify right side
    2,566.45x = 3,548,946.80
  5. Step 5: Solve for x
    x = 3,548,946.80/2,566.45
  6. Step 6: Final answer
    x = 1,382.82

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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.