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Finding the Fourth Proportional to 2,170.96, 3,253.56 and 1,790.80

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Solution

The fourth proportional to 2,170.96, 3,253.56 and 1,790.80 is: 2,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.96 : 3,253.56 = 1,790.80 : x
  2. Step 2: Convert to fraction form
    2,170.96/3,253.56 = 1,790.80/x
  3. Step 3: Cross multiply
    2,170.96x = 3,253.56 × 1,790.80
  4. Step 4: Simplify right side
    2,170.96x = 5,826,475.25
  5. Step 5: Solve for x
    x = 5,826,475.25/2,170.96
  6. Step 6: Final answer
    x = 2,683.82

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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.