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Finding the Fourth Proportional to 2,113.74, 3,170.61 and 1,650.83

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Solution

The fourth proportional to 2,113.74, 3,170.61 and 1,650.83 is: 2,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.74 : 3,170.61 = 1,650.83 : x
  2. Step 2: Convert to fraction form
    2,113.74/3,170.61 = 1,650.83/x
  3. Step 3: Cross multiply
    2,113.74x = 3,170.61 × 1,650.83
  4. Step 4: Simplify right side
    2,113.74x = 5,234,122.25
  5. Step 5: Solve for x
    x = 5,234,122.25/2,113.74
  6. Step 6: Final answer
    x = 2,476.24

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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.