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Finding the Fourth Proportional to 2,170.43, 2,994.25 and 1,462.73

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Solution

The fourth proportional to 2,170.43, 2,994.25 and 1,462.73 is: 2,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.43 : 2,994.25 = 1,462.73 : x
  2. Step 2: Convert to fraction form
    2,170.43/2,994.25 = 1,462.73/x
  3. Step 3: Cross multiply
    2,170.43x = 2,994.25 × 1,462.73
  4. Step 4: Simplify right side
    2,170.43x = 4,379,775.90
  5. Step 5: Solve for x
    x = 4,379,775.90/2,170.43
  6. Step 6: Final answer
    x = 2,017.93

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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.