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Finding the Fourth Proportional to 2,114.62, 3,170.81 and 1,003.70

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Solution

The fourth proportional to 2,114.62, 3,170.81 and 1,003.70 is: 1,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.62 : 3,170.81 = 1,003.70 : x
  2. Step 2: Convert to fraction form
    2,114.62/3,170.81 = 1,003.70/x
  3. Step 3: Cross multiply
    2,114.62x = 3,170.81 × 1,003.70
  4. Step 4: Simplify right side
    2,114.62x = 3,182,552.43
  5. Step 5: Solve for x
    x = 3,182,552.43/2,114.62
  6. Step 6: Final answer
    x = 1,505.03

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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.