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Finding the Fourth Proportional to 2,427.54, 3,342.49 and 1,898.56

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Solution

The fourth proportional to 2,427.54, 3,342.49 and 1,898.56 is: 2,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.54 : 3,342.49 = 1,898.56 : x
  2. Step 2: Convert to fraction form
    2,427.54/3,342.49 = 1,898.56/x
  3. Step 3: Cross multiply
    2,427.54x = 3,342.49 × 1,898.56
  4. Step 4: Simplify right side
    2,427.54x = 6,345,917.81
  5. Step 5: Solve for x
    x = 6,345,917.81/2,427.54
  6. Step 6: Final answer
    x = 2,614.14

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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.