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Finding the Fourth Proportional to 1,627.76, 2,243.96 and 1,161.20

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Solution

The fourth proportional to 1,627.76, 2,243.96 and 1,161.20 is: 1,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.76 : 2,243.96 = 1,161.20 : x
  2. Step 2: Convert to fraction form
    1,627.76/2,243.96 = 1,161.20/x
  3. Step 3: Cross multiply
    1,627.76x = 2,243.96 × 1,161.20
  4. Step 4: Simplify right side
    1,627.76x = 2,605,669.33
  5. Step 5: Solve for x
    x = 2,605,669.33/1,627.76
  6. Step 6: Final answer
    x = 1,600.77

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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.