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Finding the Fourth Proportional to 2,533.73, 3,496.31 and 1,471.22

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Solution

The fourth proportional to 2,533.73, 3,496.31 and 1,471.22 is: 2,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.73 : 3,496.31 = 1,471.22 : x
  2. Step 2: Convert to fraction form
    2,533.73/3,496.31 = 1,471.22/x
  3. Step 3: Cross multiply
    2,533.73x = 3,496.31 × 1,471.22
  4. Step 4: Simplify right side
    2,533.73x = 5,143,816.36
  5. Step 5: Solve for x
    x = 5,143,816.36/2,533.73
  6. Step 6: Final answer
    x = 2,030.14

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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.