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Finding the Fourth Proportional to 2,683.48, 4,026.03 and 2,219.14

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Solution

The fourth proportional to 2,683.48, 4,026.03 and 2,219.14 is: 3,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.48 : 4,026.03 = 2,219.14 : x
  2. Step 2: Convert to fraction form
    2,683.48/4,026.03 = 2,219.14/x
  3. Step 3: Cross multiply
    2,683.48x = 4,026.03 × 2,219.14
  4. Step 4: Simplify right side
    2,683.48x = 8,934,324.21
  5. Step 5: Solve for x
    x = 8,934,324.21/2,683.48
  6. Step 6: Final answer
    x = 3,329.38

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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.