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Finding the Fourth Proportional to 2,683.80, 4,025.90 and 952.20

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Solution

The fourth proportional to 2,683.80, 4,025.90 and 952.20 is: 1,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.80 : 4,025.90 = 952.20 : x
  2. Step 2: Convert to fraction form
    2,683.80/4,025.90 = 952.20/x
  3. Step 3: Cross multiply
    2,683.80x = 4,025.90 × 952.20
  4. Step 4: Simplify right side
    2,683.80x = 3,833,461.98
  5. Step 5: Solve for x
    x = 3,833,461.98/2,683.80
  6. Step 6: Final answer
    x = 1,428.37

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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.