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Finding the Fourth Proportional to 1,627.44, 2,243.52 and 1,129.32

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Solution

The fourth proportional to 1,627.44, 2,243.52 and 1,129.32 is: 1,556.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.44 : 2,243.52 = 1,129.32 : x
  2. Step 2: Convert to fraction form
    1,627.44/2,243.52 = 1,129.32/x
  3. Step 3: Cross multiply
    1,627.44x = 2,243.52 × 1,129.32
  4. Step 4: Simplify right side
    1,627.44x = 2,533,652.01
  5. Step 5: Solve for x
    x = 2,533,652.01/1,627.44
  6. Step 6: Final answer
    x = 1,556.83

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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.