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Finding the Fourth Proportional to 2,896.09, 3,996.60 and 1,569.79

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Solution

The fourth proportional to 2,896.09, 3,996.60 and 1,569.79 is: 2,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.09 : 3,996.60 = 1,569.79 : x
  2. Step 2: Convert to fraction form
    2,896.09/3,996.60 = 1,569.79/x
  3. Step 3: Cross multiply
    2,896.09x = 3,996.60 × 1,569.79
  4. Step 4: Simplify right side
    2,896.09x = 6,273,826.64
  5. Step 5: Solve for x
    x = 6,273,826.64/2,896.09
  6. Step 6: Final answer
    x = 2,166.31

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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.