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Finding the Fourth Proportional to 2,143.25, 3,215.13 and 756.30

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Solution

The fourth proportional to 2,143.25, 3,215.13 and 756.30 is: 1,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.25 : 3,215.13 = 756.30 : x
  2. Step 2: Convert to fraction form
    2,143.25/3,215.13 = 756.30/x
  3. Step 3: Cross multiply
    2,143.25x = 3,215.13 × 756.30
  4. Step 4: Simplify right side
    2,143.25x = 2,431,602.82
  5. Step 5: Solve for x
    x = 2,431,602.82/2,143.25
  6. Step 6: Final answer
    x = 1,134.54

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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.