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Finding the Fourth Proportional to 3,137.09, 4,702.57 and 1,493.19

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Solution

The fourth proportional to 3,137.09, 4,702.57 and 1,493.19 is: 2,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.09 : 4,702.57 = 1,493.19 : x
  2. Step 2: Convert to fraction form
    3,137.09/4,702.57 = 1,493.19/x
  3. Step 3: Cross multiply
    3,137.09x = 4,702.57 × 1,493.19
  4. Step 4: Simplify right side
    3,137.09x = 7,021,826.77
  5. Step 5: Solve for x
    x = 7,021,826.77/3,137.09
  6. Step 6: Final answer
    x = 2,238.33

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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.