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Finding the Fourth Proportional to 2,216.71, 3,324.20 and 735.48

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Solution

The fourth proportional to 2,216.71, 3,324.20 and 735.48 is: 1,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.71 : 3,324.20 = 735.48 : x
  2. Step 2: Convert to fraction form
    2,216.71/3,324.20 = 735.48/x
  3. Step 3: Cross multiply
    2,216.71x = 3,324.20 × 735.48
  4. Step 4: Simplify right side
    2,216.71x = 2,444,866.00
  5. Step 5: Solve for x
    x = 2,444,866.00/2,216.71
  6. Step 6: Final answer
    x = 1,102.93

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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.