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Finding the Fourth Proportional to 3,024.71, 4,534.83 and 1,727.09

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Solution

The fourth proportional to 3,024.71, 4,534.83 and 1,727.09 is: 2,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.71 : 4,534.83 = 1,727.09 : x
  2. Step 2: Convert to fraction form
    3,024.71/4,534.83 = 1,727.09/x
  3. Step 3: Cross multiply
    3,024.71x = 4,534.83 × 1,727.09
  4. Step 4: Simplify right side
    3,024.71x = 7,832,036.87
  5. Step 5: Solve for x
    x = 7,832,036.87/3,024.71
  6. Step 6: Final answer
    x = 2,589.36

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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.