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Finding the Fourth Proportional to 1,967.50, 2,714.79 and 1,444.78

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Solution

The fourth proportional to 1,967.50, 2,714.79 and 1,444.78 is: 1,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.50 : 2,714.79 = 1,444.78 : x
  2. Step 2: Convert to fraction form
    1,967.50/2,714.79 = 1,444.78/x
  3. Step 3: Cross multiply
    1,967.50x = 2,714.79 × 1,444.78
  4. Step 4: Simplify right side
    1,967.50x = 3,922,274.30
  5. Step 5: Solve for x
    x = 3,922,274.30/1,967.50
  6. Step 6: Final answer
    x = 1,993.53

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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.