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Finding the Fourth Proportional to 2,371.15, 3,557.14 and 811.32

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Solution

The fourth proportional to 2,371.15, 3,557.14 and 811.32 is: 1,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.15 : 3,557.14 = 811.32 : x
  2. Step 2: Convert to fraction form
    2,371.15/3,557.14 = 811.32/x
  3. Step 3: Cross multiply
    2,371.15x = 3,557.14 × 811.32
  4. Step 4: Simplify right side
    2,371.15x = 2,885,965.74
  5. Step 5: Solve for x
    x = 2,885,965.74/2,371.15
  6. Step 6: Final answer
    x = 1,217.12

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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.