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Finding the Fourth Proportional to 2,372.37, 3,558.77 and 811.91

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Solution

The fourth proportional to 2,372.37, 3,558.77 and 811.91 is: 1,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.37 : 3,558.77 = 811.91 : x
  2. Step 2: Convert to fraction form
    2,372.37/3,558.77 = 811.91/x
  3. Step 3: Cross multiply
    2,372.37x = 3,558.77 × 811.91
  4. Step 4: Simplify right side
    2,372.37x = 2,889,379.10
  5. Step 5: Solve for x
    x = 2,889,379.10/2,372.37
  6. Step 6: Final answer
    x = 1,217.93

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