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Finding the Fourth Proportional to 3,164.24, 4,366.64 and 1,767

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Solution

The fourth proportional to 3,164.24, 4,366.64 and 1,767 is: 2,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.24 : 4,366.64 = 1,767 : x
  2. Step 2: Convert to fraction form
    3,164.24/4,366.64 = 1,767/x
  3. Step 3: Cross multiply
    3,164.24x = 4,366.64 × 1,767
  4. Step 4: Simplify right side
    3,164.24x = 7,715,852.88
  5. Step 5: Solve for x
    x = 7,715,852.88/3,164.24
  6. Step 6: Final answer
    x = 2,438.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.