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Finding the Fourth Proportional to 2,229.38, 3,341.16 and 1,641.64

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Solution

The fourth proportional to 2,229.38, 3,341.16 and 1,641.64 is: 2,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.38 : 3,341.16 = 1,641.64 : x
  2. Step 2: Convert to fraction form
    2,229.38/3,341.16 = 1,641.64/x
  3. Step 3: Cross multiply
    2,229.38x = 3,341.16 × 1,641.64
  4. Step 4: Simplify right side
    2,229.38x = 5,484,981.90
  5. Step 5: Solve for x
    x = 5,484,981.90/2,229.38
  6. Step 6: Final answer
    x = 2,460.32

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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.