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Finding the Fourth Proportional to 2,809.38, 4,214.22 and 2,152.20

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Solution

The fourth proportional to 2,809.38, 4,214.22 and 2,152.20 is: 3,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.38 : 4,214.22 = 2,152.20 : x
  2. Step 2: Convert to fraction form
    2,809.38/4,214.22 = 2,152.20/x
  3. Step 3: Cross multiply
    2,809.38x = 4,214.22 × 2,152.20
  4. Step 4: Simplify right side
    2,809.38x = 9,069,833.52
  5. Step 5: Solve for x
    x = 9,069,833.52/2,809.38
  6. Step 6: Final answer
    x = 3,228.41

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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.