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Finding the Fourth Proportional to 2,111.91, 3,167.91 and 651.17

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Solution

The fourth proportional to 2,111.91, 3,167.91 and 651.17 is: 976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.91 : 3,167.91 = 651.17 : x
  2. Step 2: Convert to fraction form
    2,111.91/3,167.91 = 651.17/x
  3. Step 3: Cross multiply
    2,111.91x = 3,167.91 × 651.17
  4. Step 4: Simplify right side
    2,111.91x = 2,062,855.87
  5. Step 5: Solve for x
    x = 2,062,855.87/2,111.91
  6. Step 6: Final answer
    x = 976.77

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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.