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Finding the Fourth Proportional to 2,471.79, 3,410.84 and 1,409.43

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Solution

The fourth proportional to 2,471.79, 3,410.84 and 1,409.43 is: 1,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.79 : 3,410.84 = 1,409.43 : x
  2. Step 2: Convert to fraction form
    2,471.79/3,410.84 = 1,409.43/x
  3. Step 3: Cross multiply
    2,471.79x = 3,410.84 × 1,409.43
  4. Step 4: Simplify right side
    2,471.79x = 4,807,333.17
  5. Step 5: Solve for x
    x = 4,807,333.17/2,471.79
  6. Step 6: Final answer
    x = 1,944.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.