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Finding the Fourth Proportional to 2,336.70, 3,497.40 and 2,120.84

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Solution

The fourth proportional to 2,336.70, 3,497.40 and 2,120.84 is: 3,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.70 : 3,497.40 = 2,120.84 : x
  2. Step 2: Convert to fraction form
    2,336.70/3,497.40 = 2,120.84/x
  3. Step 3: Cross multiply
    2,336.70x = 3,497.40 × 2,120.84
  4. Step 4: Simplify right side
    2,336.70x = 7,417,408.33
  5. Step 5: Solve for x
    x = 7,417,408.33/2,336.70
  6. Step 6: Final answer
    x = 3,174.31

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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.