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Finding the Fourth Proportional to 2,967.66, 4,451.75 and 776.38

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Solution

The fourth proportional to 2,967.66, 4,451.75 and 776.38 is: 1,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.66 : 4,451.75 = 776.38 : x
  2. Step 2: Convert to fraction form
    2,967.66/4,451.75 = 776.38/x
  3. Step 3: Cross multiply
    2,967.66x = 4,451.75 × 776.38
  4. Step 4: Simplify right side
    2,967.66x = 3,456,249.67
  5. Step 5: Solve for x
    x = 3,456,249.67/2,967.66
  6. Step 6: Final answer
    x = 1,164.64

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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.