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Finding the Fourth Proportional to 2,650.59, 3,974.94 and 1,006.70

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Solution

The fourth proportional to 2,650.59, 3,974.94 and 1,006.70 is: 1,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.59 : 3,974.94 = 1,006.70 : x
  2. Step 2: Convert to fraction form
    2,650.59/3,974.94 = 1,006.70/x
  3. Step 3: Cross multiply
    2,650.59x = 3,974.94 × 1,006.70
  4. Step 4: Simplify right side
    2,650.59x = 4,001,552.22
  5. Step 5: Solve for x
    x = 4,001,552.22/2,650.59
  6. Step 6: Final answer
    x = 1,509.68

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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.