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Finding the Fourth Proportional to 3,290.70, 4,538.94 and 2,113.20

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Solution

The fourth proportional to 3,290.70, 4,538.94 and 2,113.20 is: 2,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.70 : 4,538.94 = 2,113.20 : x
  2. Step 2: Convert to fraction form
    3,290.70/4,538.94 = 2,113.20/x
  3. Step 3: Cross multiply
    3,290.70x = 4,538.94 × 2,113.20
  4. Step 4: Simplify right side
    3,290.70x = 9,591,688.01
  5. Step 5: Solve for x
    x = 9,591,688.01/3,290.70
  6. Step 6: Final answer
    x = 2,914.79

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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.