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Finding the Fourth Proportional to 2,339.37, 3,508.20 and 779.09

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Solution

The fourth proportional to 2,339.37, 3,508.20 and 779.09 is: 1,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.37 : 3,508.20 = 779.09 : x
  2. Step 2: Convert to fraction form
    2,339.37/3,508.20 = 779.09/x
  3. Step 3: Cross multiply
    2,339.37x = 3,508.20 × 779.09
  4. Step 4: Simplify right side
    2,339.37x = 2,733,186.00
  5. Step 5: Solve for x
    x = 2,733,186.00/2,339.37
  6. Step 6: Final answer
    x = 1,168.34

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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.