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Finding the Fourth Proportional to 2,113.97, 2,914.56 and 1,449.66

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Solution

The fourth proportional to 2,113.97, 2,914.56 and 1,449.66 is: 1,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.97 : 2,914.56 = 1,449.66 : x
  2. Step 2: Convert to fraction form
    2,113.97/2,914.56 = 1,449.66/x
  3. Step 3: Cross multiply
    2,113.97x = 2,914.56 × 1,449.66
  4. Step 4: Simplify right side
    2,113.97x = 4,225,121.05
  5. Step 5: Solve for x
    x = 4,225,121.05/2,113.97
  6. Step 6: Final answer
    x = 1,998.67

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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.