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Finding the Fourth Proportional to 1,809.16, 2,714.07 and 822.04

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Solution

The fourth proportional to 1,809.16, 2,714.07 and 822.04 is: 1,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.16 : 2,714.07 = 822.04 : x
  2. Step 2: Convert to fraction form
    1,809.16/2,714.07 = 822.04/x
  3. Step 3: Cross multiply
    1,809.16x = 2,714.07 × 822.04
  4. Step 4: Simplify right side
    1,809.16x = 2,231,070.40
  5. Step 5: Solve for x
    x = 2,231,070.40/1,809.16
  6. Step 6: Final answer
    x = 1,233.21

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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.