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Finding the Fourth Proportional to 2,216.57, 3,325.17 and 755.96

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Solution

The fourth proportional to 2,216.57, 3,325.17 and 755.96 is: 1,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.57 : 3,325.17 = 755.96 : x
  2. Step 2: Convert to fraction form
    2,216.57/3,325.17 = 755.96/x
  3. Step 3: Cross multiply
    2,216.57x = 3,325.17 × 755.96
  4. Step 4: Simplify right side
    2,216.57x = 2,513,695.51
  5. Step 5: Solve for x
    x = 2,513,695.51/2,216.57
  6. Step 6: Final answer
    x = 1,134.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.