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Finding the Fourth Proportional to 1,446.51, 1,994.67 and 1,074.22

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Solution

The fourth proportional to 1,446.51, 1,994.67 and 1,074.22 is: 1,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.51 : 1,994.67 = 1,074.22 : x
  2. Step 2: Convert to fraction form
    1,446.51/1,994.67 = 1,074.22/x
  3. Step 3: Cross multiply
    1,446.51x = 1,994.67 × 1,074.22
  4. Step 4: Simplify right side
    1,446.51x = 2,142,714.41
  5. Step 5: Solve for x
    x = 2,142,714.41/1,446.51
  6. Step 6: Final answer
    x = 1,481.30

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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.