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Finding the Fourth Proportional to 2,534.70, 3,802.06 and 779.69

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Solution

The fourth proportional to 2,534.70, 3,802.06 and 779.69 is: 1,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.70 : 3,802.06 = 779.69 : x
  2. Step 2: Convert to fraction form
    2,534.70/3,802.06 = 779.69/x
  3. Step 3: Cross multiply
    2,534.70x = 3,802.06 × 779.69
  4. Step 4: Simplify right side
    2,534.70x = 2,964,435.13
  5. Step 5: Solve for x
    x = 2,964,435.13/2,534.70
  6. Step 6: Final answer
    x = 1,169.54

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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.