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Finding the Fourth Proportional to 2,686.02, 4,029.23 and 837.19

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Solution

The fourth proportional to 2,686.02, 4,029.23 and 837.19 is: 1,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.02 : 4,029.23 = 837.19 : x
  2. Step 2: Convert to fraction form
    2,686.02/4,029.23 = 837.19/x
  3. Step 3: Cross multiply
    2,686.02x = 4,029.23 × 837.19
  4. Step 4: Simplify right side
    2,686.02x = 3,373,231.06
  5. Step 5: Solve for x
    x = 3,373,231.06/2,686.02
  6. Step 6: Final answer
    x = 1,255.85

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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.