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Finding the Fourth Proportional to 3,099.36, 4,277.12 and 1,683.05

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Solution

The fourth proportional to 3,099.36, 4,277.12 and 1,683.05 is: 2,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.36 : 4,277.12 = 1,683.05 : x
  2. Step 2: Convert to fraction form
    3,099.36/4,277.12 = 1,683.05/x
  3. Step 3: Cross multiply
    3,099.36x = 4,277.12 × 1,683.05
  4. Step 4: Simplify right side
    3,099.36x = 7,198,577.02
  5. Step 5: Solve for x
    x = 7,198,577.02/3,099.36
  6. Step 6: Final answer
    x = 2,322.60

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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.