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Finding the Fourth Proportional to 2,495.70, 3,744 and 852.21

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Solution

The fourth proportional to 2,495.70, 3,744 and 852.21 is: 1,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.70 : 3,744 = 852.21 : x
  2. Step 2: Convert to fraction form
    2,495.70/3,744 = 852.21/x
  3. Step 3: Cross multiply
    2,495.70x = 3,744 × 852.21
  4. Step 4: Simplify right side
    2,495.70x = 3,190,674.24
  5. Step 5: Solve for x
    x = 3,190,674.24/2,495.70
  6. Step 6: Final answer
    x = 1,278.47

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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.