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Finding the Fourth Proportional to 2,002.37, 3,003.37 and 616.66

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Solution

The fourth proportional to 2,002.37, 3,003.37 and 616.66 is: 924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.37 : 3,003.37 = 616.66 : x
  2. Step 2: Convert to fraction form
    2,002.37/3,003.37 = 616.66/x
  3. Step 3: Cross multiply
    2,002.37x = 3,003.37 × 616.66
  4. Step 4: Simplify right side
    2,002.37x = 1,852,049.09
  5. Step 5: Solve for x
    x = 1,852,049.09/2,002.37
  6. Step 6: Final answer
    x = 924.93

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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.