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Finding the Fourth Proportional to 2,099.56, 2,892.03 and 1,744.84

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Solution

The fourth proportional to 2,099.56, 2,892.03 and 1,744.84 is: 2,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.56 : 2,892.03 = 1,744.84 : x
  2. Step 2: Convert to fraction form
    2,099.56/2,892.03 = 1,744.84/x
  3. Step 3: Cross multiply
    2,099.56x = 2,892.03 × 1,744.84
  4. Step 4: Simplify right side
    2,099.56x = 5,046,129.63
  5. Step 5: Solve for x
    x = 5,046,129.63/2,099.56
  6. Step 6: Final answer
    x = 2,403.42

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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.