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Finding the Fourth Proportional to 3,099.78, 4,277.68 and 1,683.50

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Solution

The fourth proportional to 3,099.78, 4,277.68 and 1,683.50 is: 2,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.78 : 4,277.68 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    3,099.78/4,277.68 = 1,683.50/x
  3. Step 3: Cross multiply
    3,099.78x = 4,277.68 × 1,683.50
  4. Step 4: Simplify right side
    3,099.78x = 7,201,448.68
  5. Step 5: Solve for x
    x = 7,201,448.68/3,099.78
  6. Step 6: Final answer
    x = 2,323.21

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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.