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Finding the Fourth Proportional to 3,424.88, 5,141.74 and 1,782.56

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Solution

The fourth proportional to 3,424.88, 5,141.74 and 1,782.56 is: 2,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.88 : 5,141.74 = 1,782.56 : x
  2. Step 2: Convert to fraction form
    3,424.88/5,141.74 = 1,782.56/x
  3. Step 3: Cross multiply
    3,424.88x = 5,141.74 × 1,782.56
  4. Step 4: Simplify right side
    3,424.88x = 9,165,460.05
  5. Step 5: Solve for x
    x = 9,165,460.05/3,424.88
  6. Step 6: Final answer
    x = 2,676.14

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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.