Home / 2,412.69-3,619.32-768.66

Finding the Fourth Proportional to 2,412.69, 3,619.32 and 768.66

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Solution

The fourth proportional to 2,412.69, 3,619.32 and 768.66 is: 1,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.69 : 3,619.32 = 768.66 : x
  2. Step 2: Convert to fraction form
    2,412.69/3,619.32 = 768.66/x
  3. Step 3: Cross multiply
    2,412.69x = 3,619.32 × 768.66
  4. Step 4: Simplify right side
    2,412.69x = 2,782,026.51
  5. Step 5: Solve for x
    x = 2,782,026.51/2,412.69
  6. Step 6: Final answer
    x = 1,153.08

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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.