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Finding the Fourth Proportional to 2,566.09, 3,849.50 and 922.33

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Solution

The fourth proportional to 2,566.09, 3,849.50 and 922.33 is: 1,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.09 : 3,849.50 = 922.33 : x
  2. Step 2: Convert to fraction form
    2,566.09/3,849.50 = 922.33/x
  3. Step 3: Cross multiply
    2,566.09x = 3,849.50 × 922.33
  4. Step 4: Simplify right side
    2,566.09x = 3,550,509.34
  5. Step 5: Solve for x
    x = 3,550,509.34/2,566.09
  6. Step 6: Final answer
    x = 1,383.63

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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.