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Finding the Fourth Proportional to 1,620.96, 2,236.39 and 1,024.13

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Solution

The fourth proportional to 1,620.96, 2,236.39 and 1,024.13 is: 1,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.96 : 2,236.39 = 1,024.13 : x
  2. Step 2: Convert to fraction form
    1,620.96/2,236.39 = 1,024.13/x
  3. Step 3: Cross multiply
    1,620.96x = 2,236.39 × 1,024.13
  4. Step 4: Simplify right side
    1,620.96x = 2,290,361.02
  5. Step 5: Solve for x
    x = 2,290,361.02/1,620.96
  6. Step 6: Final answer
    x = 1,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.