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Finding the Fourth Proportional to 2,295.56, 3,456.78 and 1,650.80

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Solution

The fourth proportional to 2,295.56, 3,456.78 and 1,650.80 is: 2,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.56 : 3,456.78 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    2,295.56/3,456.78 = 1,650.80/x
  3. Step 3: Cross multiply
    2,295.56x = 3,456.78 × 1,650.80
  4. Step 4: Simplify right side
    2,295.56x = 5,706,452.42
  5. Step 5: Solve for x
    x = 5,706,452.42/2,295.56
  6. Step 6: Final answer
    x = 2,485.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.