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Finding the Fourth Proportional to 1,809.18, 2,714.16 and 943.26

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Solution

The fourth proportional to 1,809.18, 2,714.16 and 943.26 is: 1,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.18 : 2,714.16 = 943.26 : x
  2. Step 2: Convert to fraction form
    1,809.18/2,714.16 = 943.26/x
  3. Step 3: Cross multiply
    1,809.18x = 2,714.16 × 943.26
  4. Step 4: Simplify right side
    1,809.18x = 2,560,158.56
  5. Step 5: Solve for x
    x = 2,560,158.56/1,809.18
  6. Step 6: Final answer
    x = 1,415.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.