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Finding the Fourth Proportional to 2,658.40, 3,669.92 and 2,059.56

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Solution

The fourth proportional to 2,658.40, 3,669.92 and 2,059.56 is: 2,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.40 : 3,669.92 = 2,059.56 : x
  2. Step 2: Convert to fraction form
    2,658.40/3,669.92 = 2,059.56/x
  3. Step 3: Cross multiply
    2,658.40x = 3,669.92 × 2,059.56
  4. Step 4: Simplify right side
    2,658.40x = 7,558,420.44
  5. Step 5: Solve for x
    x = 7,558,420.44/2,658.40
  6. Step 6: Final answer
    x = 2,843.22

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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.