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Finding the Fourth Proportional to 2,069.96, 3,087.99 and 2,013.46

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Solution

The fourth proportional to 2,069.96, 3,087.99 and 2,013.46 is: 3,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.96 : 3,087.99 = 2,013.46 : x
  2. Step 2: Convert to fraction form
    2,069.96/3,087.99 = 2,013.46/x
  3. Step 3: Cross multiply
    2,069.96x = 3,087.99 × 2,013.46
  4. Step 4: Simplify right side
    2,069.96x = 6,217,536.63
  5. Step 5: Solve for x
    x = 6,217,536.63/2,069.96
  6. Step 6: Final answer
    x = 3,003.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.