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Finding the Fourth Proportional to 3,098.63, 4,645.22 and 1,149.57

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Solution

The fourth proportional to 3,098.63, 4,645.22 and 1,149.57 is: 1,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.63 : 4,645.22 = 1,149.57 : x
  2. Step 2: Convert to fraction form
    3,098.63/4,645.22 = 1,149.57/x
  3. Step 3: Cross multiply
    3,098.63x = 4,645.22 × 1,149.57
  4. Step 4: Simplify right side
    3,098.63x = 5,339,999.81
  5. Step 5: Solve for x
    x = 5,339,999.81/3,098.63
  6. Step 6: Final answer
    x = 1,723.34

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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.