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Finding the Fourth Proportional to 1,612.17, 2,229.71 and 1,446.32

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Solution

The fourth proportional to 1,612.17, 2,229.71 and 1,446.32 is: 2,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.17 : 2,229.71 = 1,446.32 : x
  2. Step 2: Convert to fraction form
    1,612.17/2,229.71 = 1,446.32/x
  3. Step 3: Cross multiply
    1,612.17x = 2,229.71 × 1,446.32
  4. Step 4: Simplify right side
    1,612.17x = 3,224,872.51
  5. Step 5: Solve for x
    x = 3,224,872.51/1,612.17
  6. Step 6: Final answer
    x = 2,000.33

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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.