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Finding the Fourth Proportional to 1,600.20, 2,203.74 and 1,157.40

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Solution

The fourth proportional to 1,600.20, 2,203.74 and 1,157.40 is: 1,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.20 : 2,203.74 = 1,157.40 : x
  2. Step 2: Convert to fraction form
    1,600.20/2,203.74 = 1,157.40/x
  3. Step 3: Cross multiply
    1,600.20x = 2,203.74 × 1,157.40
  4. Step 4: Simplify right side
    1,600.20x = 2,550,608.68
  5. Step 5: Solve for x
    x = 2,550,608.68/1,600.20
  6. Step 6: Final answer
    x = 1,593.93

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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.