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Finding the Fourth Proportional to 2,311.98, 3,467.40 and 926.34

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Solution

The fourth proportional to 2,311.98, 3,467.40 and 926.34 is: 1,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.98 : 3,467.40 = 926.34 : x
  2. Step 2: Convert to fraction form
    2,311.98/3,467.40 = 926.34/x
  3. Step 3: Cross multiply
    2,311.98x = 3,467.40 × 926.34
  4. Step 4: Simplify right side
    2,311.98x = 3,211,991.32
  5. Step 5: Solve for x
    x = 3,211,991.32/2,311.98
  6. Step 6: Final answer
    x = 1,389.28

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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.