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Finding the Fourth Proportional to 2,495.78, 3,743.70 and 852.20

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Solution

The fourth proportional to 2,495.78, 3,743.70 and 852.20 is: 1,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.78 : 3,743.70 = 852.20 : x
  2. Step 2: Convert to fraction form
    2,495.78/3,743.70 = 852.20/x
  3. Step 3: Cross multiply
    2,495.78x = 3,743.70 × 852.20
  4. Step 4: Simplify right side
    2,495.78x = 3,190,381.14
  5. Step 5: Solve for x
    x = 3,190,381.14/2,495.78
  6. Step 6: Final answer
    x = 1,278.31

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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.