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Finding the Fourth Proportional to 2,552.15, 3,828.17 and 1,454.17

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Solution

The fourth proportional to 2,552.15, 3,828.17 and 1,454.17 is: 2,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.15 : 3,828.17 = 1,454.17 : x
  2. Step 2: Convert to fraction form
    2,552.15/3,828.17 = 1,454.17/x
  3. Step 3: Cross multiply
    2,552.15x = 3,828.17 × 1,454.17
  4. Step 4: Simplify right side
    2,552.15x = 5,566,804.03
  5. Step 5: Solve for x
    x = 5,566,804.03/2,552.15
  6. Step 6: Final answer
    x = 2,181.23

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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.