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Finding the Fourth Proportional to 3,410.66, 4,709.54 and 2,153.82

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Solution

The fourth proportional to 3,410.66, 4,709.54 and 2,153.82 is: 2,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.66 : 4,709.54 = 2,153.82 : x
  2. Step 2: Convert to fraction form
    3,410.66/4,709.54 = 2,153.82/x
  3. Step 3: Cross multiply
    3,410.66x = 4,709.54 × 2,153.82
  4. Step 4: Simplify right side
    3,410.66x = 10,143,501.44
  5. Step 5: Solve for x
    x = 10,143,501.44/3,410.66
  6. Step 6: Final answer
    x = 2,974.06

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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.