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Finding the Fourth Proportional to 3,137.09, 4,702.46 and 1,967.91

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Solution

The fourth proportional to 3,137.09, 4,702.46 and 1,967.91 is: 2,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.09 : 4,702.46 = 1,967.91 : x
  2. Step 2: Convert to fraction form
    3,137.09/4,702.46 = 1,967.91/x
  3. Step 3: Cross multiply
    3,137.09x = 4,702.46 × 1,967.91
  4. Step 4: Simplify right side
    3,137.09x = 9,254,008.22
  5. Step 5: Solve for x
    x = 9,254,008.22/3,137.09
  6. Step 6: Final answer
    x = 2,949.87

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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.