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Finding the Fourth Proportional to 2,200.66, 3,301.48 and 739.77

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Solution

The fourth proportional to 2,200.66, 3,301.48 and 739.77 is: 1,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.66 : 3,301.48 = 739.77 : x
  2. Step 2: Convert to fraction form
    2,200.66/3,301.48 = 739.77/x
  3. Step 3: Cross multiply
    2,200.66x = 3,301.48 × 739.77
  4. Step 4: Simplify right side
    2,200.66x = 2,442,345.96
  5. Step 5: Solve for x
    x = 2,442,345.96/2,200.66
  6. Step 6: Final answer
    x = 1,109.82

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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.