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Finding the Fourth Proportional to 3,292.74, 4,544.06 and 1,967.21

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Solution

The fourth proportional to 3,292.74, 4,544.06 and 1,967.21 is: 2,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.74 : 4,544.06 = 1,967.21 : x
  2. Step 2: Convert to fraction form
    3,292.74/4,544.06 = 1,967.21/x
  3. Step 3: Cross multiply
    3,292.74x = 4,544.06 × 1,967.21
  4. Step 4: Simplify right side
    3,292.74x = 8,939,120.27
  5. Step 5: Solve for x
    x = 8,939,120.27/3,292.74
  6. Step 6: Final answer
    x = 2,714.80

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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.