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Finding the Fourth Proportional to 2,143.16, 3,214.78 and 756.52

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Solution

The fourth proportional to 2,143.16, 3,214.78 and 756.52 is: 1,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.16 : 3,214.78 = 756.52 : x
  2. Step 2: Convert to fraction form
    2,143.16/3,214.78 = 756.52/x
  3. Step 3: Cross multiply
    2,143.16x = 3,214.78 × 756.52
  4. Step 4: Simplify right side
    2,143.16x = 2,432,045.37
  5. Step 5: Solve for x
    x = 2,432,045.37/2,143.16
  6. Step 6: Final answer
    x = 1,134.79

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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.