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Finding the Fourth Proportional to 3,091.44, 4,634.24 and 1,038

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Solution

The fourth proportional to 3,091.44, 4,634.24 and 1,038 is: 1,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.44 : 4,634.24 = 1,038 : x
  2. Step 2: Convert to fraction form
    3,091.44/4,634.24 = 1,038/x
  3. Step 3: Cross multiply
    3,091.44x = 4,634.24 × 1,038
  4. Step 4: Simplify right side
    3,091.44x = 4,810,341.12
  5. Step 5: Solve for x
    x = 4,810,341.12/3,091.44
  6. Step 6: Final answer
    x = 1,556.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.