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Finding the Fourth Proportional to 2,002.65, 2,999.34 and 1,933.44

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Solution

The fourth proportional to 2,002.65, 2,999.34 and 1,933.44 is: 2,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.65 : 2,999.34 = 1,933.44 : x
  2. Step 2: Convert to fraction form
    2,002.65/2,999.34 = 1,933.44/x
  3. Step 3: Cross multiply
    2,002.65x = 2,999.34 × 1,933.44
  4. Step 4: Simplify right side
    2,002.65x = 5,799,043.93
  5. Step 5: Solve for x
    x = 5,799,043.93/2,002.65
  6. Step 6: Final answer
    x = 2,895.69

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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.