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Finding the Fourth Proportional to 2,471.70, 3,410.97 and 1,352.49

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Solution

The fourth proportional to 2,471.70, 3,410.97 and 1,352.49 is: 1,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.70 : 3,410.97 = 1,352.49 : x
  2. Step 2: Convert to fraction form
    2,471.70/3,410.97 = 1,352.49/x
  3. Step 3: Cross multiply
    2,471.70x = 3,410.97 × 1,352.49
  4. Step 4: Simplify right side
    2,471.70x = 4,613,302.82
  5. Step 5: Solve for x
    x = 4,613,302.82/2,471.70
  6. Step 6: Final answer
    x = 1,866.45

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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.