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Finding the Fourth Proportional to 2,143.74, 3,216.62 and 758.12

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Solution

The fourth proportional to 2,143.74, 3,216.62 and 758.12 is: 1,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.74 : 3,216.62 = 758.12 : x
  2. Step 2: Convert to fraction form
    2,143.74/3,216.62 = 758.12/x
  3. Step 3: Cross multiply
    2,143.74x = 3,216.62 × 758.12
  4. Step 4: Simplify right side
    2,143.74x = 2,438,588.21
  5. Step 5: Solve for x
    x = 2,438,588.21/2,143.74
  6. Step 6: Final answer
    x = 1,137.54

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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.