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Finding the Fourth Proportional to 2,471.37, 3,410.20 and 1,476.42

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Solution

The fourth proportional to 2,471.37, 3,410.20 and 1,476.42 is: 2,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.37 : 3,410.20 = 1,476.42 : x
  2. Step 2: Convert to fraction form
    2,471.37/3,410.20 = 1,476.42/x
  3. Step 3: Cross multiply
    2,471.37x = 3,410.20 × 1,476.42
  4. Step 4: Simplify right side
    2,471.37x = 5,034,887.48
  5. Step 5: Solve for x
    x = 5,034,887.48/2,471.37
  6. Step 6: Final answer
    x = 2,037.29

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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.