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Finding the Fourth Proportional to 2,495.98, 3,744.56 and 852.54

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Solution

The fourth proportional to 2,495.98, 3,744.56 and 852.54 is: 1,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.98 : 3,744.56 = 852.54 : x
  2. Step 2: Convert to fraction form
    2,495.98/3,744.56 = 852.54/x
  3. Step 3: Cross multiply
    2,495.98x = 3,744.56 × 852.54
  4. Step 4: Simplify right side
    2,495.98x = 3,192,382.92
  5. Step 5: Solve for x
    x = 3,192,382.92/2,495.98
  6. Step 6: Final answer
    x = 1,279.01

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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.