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Finding the Fourth Proportional to 2,012.57, 3,018.26 and 779.70

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Solution

The fourth proportional to 2,012.57, 3,018.26 and 779.70 is: 1,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.57 : 3,018.26 = 779.70 : x
  2. Step 2: Convert to fraction form
    2,012.57/3,018.26 = 779.70/x
  3. Step 3: Cross multiply
    2,012.57x = 3,018.26 × 779.70
  4. Step 4: Simplify right side
    2,012.57x = 2,353,339.27
  5. Step 5: Solve for x
    x = 2,353,339.27/2,012.57
  6. Step 6: Final answer
    x = 1,169.32

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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.