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Finding the Fourth Proportional to 2,410, 3,324.68 and 1,711.76

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Solution

The fourth proportional to 2,410, 3,324.68 and 1,711.76 is: 2,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410 : 3,324.68 = 1,711.76 : x
  2. Step 2: Convert to fraction form
    2,410/3,324.68 = 1,711.76/x
  3. Step 3: Cross multiply
    2,410x = 3,324.68 × 1,711.76
  4. Step 4: Simplify right side
    2,410x = 5,691,054.24
  5. Step 5: Solve for x
    x = 5,691,054.24/2,410
  6. Step 6: Final answer
    x = 2,361.43

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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.