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Finding the Fourth Proportional to 2,552.98, 3,828.16 and 993.42

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Solution

The fourth proportional to 2,552.98, 3,828.16 and 993.42 is: 1,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.98 : 3,828.16 = 993.42 : x
  2. Step 2: Convert to fraction form
    2,552.98/3,828.16 = 993.42/x
  3. Step 3: Cross multiply
    2,552.98x = 3,828.16 × 993.42
  4. Step 4: Simplify right side
    2,552.98x = 3,802,970.71
  5. Step 5: Solve for x
    x = 3,802,970.71/2,552.98
  6. Step 6: Final answer
    x = 1,489.62

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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.