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Finding the Fourth Proportional to 2,535.15, 3,802.25 and 779.66

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Solution

The fourth proportional to 2,535.15, 3,802.25 and 779.66 is: 1,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.15 : 3,802.25 = 779.66 : x
  2. Step 2: Convert to fraction form
    2,535.15/3,802.25 = 779.66/x
  3. Step 3: Cross multiply
    2,535.15x = 3,802.25 × 779.66
  4. Step 4: Simplify right side
    2,535.15x = 2,964,439.33
  5. Step 5: Solve for x
    x = 2,964,439.33/2,535.15
  6. Step 6: Final answer
    x = 1,169.33

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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.