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Finding the Fourth Proportional to 2,372.12, 3,558.17 and 910.47

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Solution

The fourth proportional to 2,372.12, 3,558.17 and 910.47 is: 1,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.12 : 3,558.17 = 910.47 : x
  2. Step 2: Convert to fraction form
    2,372.12/3,558.17 = 910.47/x
  3. Step 3: Cross multiply
    2,372.12x = 3,558.17 × 910.47
  4. Step 4: Simplify right side
    2,372.12x = 3,239,609.32
  5. Step 5: Solve for x
    x = 3,239,609.32/2,372.12
  6. Step 6: Final answer
    x = 1,365.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.