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Finding the Fourth Proportional to 2,552.70, 3,825.81 and 1,317.72

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Solution

The fourth proportional to 2,552.70, 3,825.81 and 1,317.72 is: 1,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.70 : 3,825.81 = 1,317.72 : x
  2. Step 2: Convert to fraction form
    2,552.70/3,825.81 = 1,317.72/x
  3. Step 3: Cross multiply
    2,552.70x = 3,825.81 × 1,317.72
  4. Step 4: Simplify right side
    2,552.70x = 5,041,346.35
  5. Step 5: Solve for x
    x = 5,041,346.35/2,552.70
  6. Step 6: Final answer
    x = 1,974.91

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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.