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Finding the Fourth Proportional to 2,006.44, 3,010.12 and 619.82

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Solution

The fourth proportional to 2,006.44, 3,010.12 and 619.82 is: 929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.44 : 3,010.12 = 619.82 : x
  2. Step 2: Convert to fraction form
    2,006.44/3,010.12 = 619.82/x
  3. Step 3: Cross multiply
    2,006.44x = 3,010.12 × 619.82
  4. Step 4: Simplify right side
    2,006.44x = 1,865,732.58
  5. Step 5: Solve for x
    x = 1,865,732.58/2,006.44
  6. Step 6: Final answer
    x = 929.87

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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.