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Finding the Fourth Proportional to 2,264.86, 3,398.32 and 2,172.62

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Solution

The fourth proportional to 2,264.86, 3,398.32 and 2,172.62 is: 3,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.86 : 3,398.32 = 2,172.62 : x
  2. Step 2: Convert to fraction form
    2,264.86/3,398.32 = 2,172.62/x
  3. Step 3: Cross multiply
    2,264.86x = 3,398.32 × 2,172.62
  4. Step 4: Simplify right side
    2,264.86x = 7,383,269.21
  5. Step 5: Solve for x
    x = 7,383,269.21/2,264.86
  6. Step 6: Final answer
    x = 3,259.92

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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.