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Finding the Fourth Proportional to 2,543.06, 3,809.10 and 2,099.34

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Solution

The fourth proportional to 2,543.06, 3,809.10 and 2,099.34 is: 3,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.06 : 3,809.10 = 2,099.34 : x
  2. Step 2: Convert to fraction form
    2,543.06/3,809.10 = 2,099.34/x
  3. Step 3: Cross multiply
    2,543.06x = 3,809.10 × 2,099.34
  4. Step 4: Simplify right side
    2,543.06x = 7,996,595.99
  5. Step 5: Solve for x
    x = 7,996,595.99/2,543.06
  6. Step 6: Final answer
    x = 3,144.48

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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.