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Finding the Fourth Proportional to 2,113.62, 3,170.37 and 815.37

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Solution

The fourth proportional to 2,113.62, 3,170.37 and 815.37 is: 1,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.62 : 3,170.37 = 815.37 : x
  2. Step 2: Convert to fraction form
    2,113.62/3,170.37 = 815.37/x
  3. Step 3: Cross multiply
    2,113.62x = 3,170.37 × 815.37
  4. Step 4: Simplify right side
    2,113.62x = 2,585,024.59
  5. Step 5: Solve for x
    x = 2,585,024.59/2,113.62
  6. Step 6: Final answer
    x = 1,223.03

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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.