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Finding the Fourth Proportional to 2,371.98, 3,558.21 and 811.98

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Solution

The fourth proportional to 2,371.98, 3,558.21 and 811.98 is: 1,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.98 : 3,558.21 = 811.98 : x
  2. Step 2: Convert to fraction form
    2,371.98/3,558.21 = 811.98/x
  3. Step 3: Cross multiply
    2,371.98x = 3,558.21 × 811.98
  4. Step 4: Simplify right side
    2,371.98x = 2,889,195.36
  5. Step 5: Solve for x
    x = 2,889,195.36/2,371.98
  6. Step 6: Final answer
    x = 1,218.05

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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.