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Finding the Fourth Proportional to 2,552.25, 3,520.74 and 1,711.51

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Solution

The fourth proportional to 2,552.25, 3,520.74 and 1,711.51 is: 2,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.25 : 3,520.74 = 1,711.51 : x
  2. Step 2: Convert to fraction form
    2,552.25/3,520.74 = 1,711.51/x
  3. Step 3: Cross multiply
    2,552.25x = 3,520.74 × 1,711.51
  4. Step 4: Simplify right side
    2,552.25x = 6,025,772.92
  5. Step 5: Solve for x
    x = 6,025,772.92/2,552.25
  6. Step 6: Final answer
    x = 2,360.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.