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Finding the Fourth Proportional to 2,012.60, 3,018.42 and 779.51

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Solution

The fourth proportional to 2,012.60, 3,018.42 and 779.51 is: 1,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.60 : 3,018.42 = 779.51 : x
  2. Step 2: Convert to fraction form
    2,012.60/3,018.42 = 779.51/x
  3. Step 3: Cross multiply
    2,012.60x = 3,018.42 × 779.51
  4. Step 4: Simplify right side
    2,012.60x = 2,352,873.48
  5. Step 5: Solve for x
    x = 2,352,873.48/2,012.60
  6. Step 6: Final answer
    x = 1,169.07

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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.