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Finding the Fourth Proportional to 2,495.82, 3,743.43 and 852.54

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Solution

The fourth proportional to 2,495.82, 3,743.43 and 852.54 is: 1,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.82 : 3,743.43 = 852.54 : x
  2. Step 2: Convert to fraction form
    2,495.82/3,743.43 = 852.54/x
  3. Step 3: Cross multiply
    2,495.82x = 3,743.43 × 852.54
  4. Step 4: Simplify right side
    2,495.82x = 3,191,423.81
  5. Step 5: Solve for x
    x = 3,191,423.81/2,495.82
  6. Step 6: Final answer
    x = 1,278.71

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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.