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Finding the Fourth Proportional to 2,371.26, 3,557.08 and 811.20

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Solution

The fourth proportional to 2,371.26, 3,557.08 and 811.20 is: 1,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.26 : 3,557.08 = 811.20 : x
  2. Step 2: Convert to fraction form
    2,371.26/3,557.08 = 811.20/x
  3. Step 3: Cross multiply
    2,371.26x = 3,557.08 × 811.20
  4. Step 4: Simplify right side
    2,371.26x = 2,885,503.30
  5. Step 5: Solve for x
    x = 2,885,503.30/2,371.26
  6. Step 6: Final answer
    x = 1,216.86

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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.