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Finding the Fourth Proportional to 2,002.83, 2,763.09 and 1,294.47

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Solution

The fourth proportional to 2,002.83, 2,763.09 and 1,294.47 is: 1,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.83 : 2,763.09 = 1,294.47 : x
  2. Step 2: Convert to fraction form
    2,002.83/2,763.09 = 1,294.47/x
  3. Step 3: Cross multiply
    2,002.83x = 2,763.09 × 1,294.47
  4. Step 4: Simplify right side
    2,002.83x = 3,576,737.11
  5. Step 5: Solve for x
    x = 3,576,737.11/2,002.83
  6. Step 6: Final answer
    x = 1,785.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.