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Finding the Fourth Proportional to 2,099.86, 3,158.02 and 1,771.81

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Solution

The fourth proportional to 2,099.86, 3,158.02 and 1,771.81 is: 2,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.86 : 3,158.02 = 1,771.81 : x
  2. Step 2: Convert to fraction form
    2,099.86/3,158.02 = 1,771.81/x
  3. Step 3: Cross multiply
    2,099.86x = 3,158.02 × 1,771.81
  4. Step 4: Simplify right side
    2,099.86x = 5,595,395.63
  5. Step 5: Solve for x
    x = 5,595,395.63/2,099.86
  6. Step 6: Final answer
    x = 2,664.66

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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.