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Finding the Fourth Proportional to 2,495.14, 3,442.52 and 1,447.00

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Solution

The fourth proportional to 2,495.14, 3,442.52 and 1,447.00 is: 1,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.14 : 3,442.52 = 1,447.00 : x
  2. Step 2: Convert to fraction form
    2,495.14/3,442.52 = 1,447.00/x
  3. Step 3: Cross multiply
    2,495.14x = 3,442.52 × 1,447.00
  4. Step 4: Simplify right side
    2,495.14x = 4,981,301.99
  5. Step 5: Solve for x
    x = 4,981,301.99/2,495.14
  6. Step 6: Final answer
    x = 1,996.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.