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Finding the Fourth Proportional to 2,142.93, 3,215.83 and 756.27

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Solution

The fourth proportional to 2,142.93, 3,215.83 and 756.27 is: 1,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.93 : 3,215.83 = 756.27 : x
  2. Step 2: Convert to fraction form
    2,142.93/3,215.83 = 756.27/x
  3. Step 3: Cross multiply
    2,142.93x = 3,215.83 × 756.27
  4. Step 4: Simplify right side
    2,142.93x = 2,432,033.86
  5. Step 5: Solve for x
    x = 2,432,033.86/2,142.93
  6. Step 6: Final answer
    x = 1,134.91

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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.