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Finding the Fourth Proportional to 2,002.36, 3,004.61 and 833.17

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Solution

The fourth proportional to 2,002.36, 3,004.61 and 833.17 is: 1,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.36 : 3,004.61 = 833.17 : x
  2. Step 2: Convert to fraction form
    2,002.36/3,004.61 = 833.17/x
  3. Step 3: Cross multiply
    2,002.36x = 3,004.61 × 833.17
  4. Step 4: Simplify right side
    2,002.36x = 2,503,342.77
  5. Step 5: Solve for x
    x = 2,503,342.77/2,002.36
  6. Step 6: Final answer
    x = 1,250.20

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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.