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Finding the Fourth Proportional to 2,965.65, 4,448.47 and 774.37

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Solution

The fourth proportional to 2,965.65, 4,448.47 and 774.37 is: 1,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.65 : 4,448.47 = 774.37 : x
  2. Step 2: Convert to fraction form
    2,965.65/4,448.47 = 774.37/x
  3. Step 3: Cross multiply
    2,965.65x = 4,448.47 × 774.37
  4. Step 4: Simplify right side
    2,965.65x = 3,444,761.71
  5. Step 5: Solve for x
    x = 3,444,761.71/2,965.65
  6. Step 6: Final answer
    x = 1,161.55

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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.