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Finding the Fourth Proportional to 2,109.45, 2,902.23 and 2,060.22

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Solution

The fourth proportional to 2,109.45, 2,902.23 and 2,060.22 is: 2,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.45 : 2,902.23 = 2,060.22 : x
  2. Step 2: Convert to fraction form
    2,109.45/2,902.23 = 2,060.22/x
  3. Step 3: Cross multiply
    2,109.45x = 2,902.23 × 2,060.22
  4. Step 4: Simplify right side
    2,109.45x = 5,979,232.29
  5. Step 5: Solve for x
    x = 5,979,232.29/2,109.45
  6. Step 6: Final answer
    x = 2,834.50

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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.