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Finding the Fourth Proportional to 2,170.16, 3,254.59 and 920.73

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Solution

The fourth proportional to 2,170.16, 3,254.59 and 920.73 is: 1,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.16 : 3,254.59 = 920.73 : x
  2. Step 2: Convert to fraction form
    2,170.16/3,254.59 = 920.73/x
  3. Step 3: Cross multiply
    2,170.16x = 3,254.59 × 920.73
  4. Step 4: Simplify right side
    2,170.16x = 2,996,596.35
  5. Step 5: Solve for x
    x = 2,996,596.35/2,170.16
  6. Step 6: Final answer
    x = 1,380.82

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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.