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Finding the Fourth Proportional to 2,342.00, 3,214.11 and 2,120.46

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Solution

The fourth proportional to 2,342.00, 3,214.11 and 2,120.46 is: 2,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.00 : 3,214.11 = 2,120.46 : x
  2. Step 2: Convert to fraction form
    2,342.00/3,214.11 = 2,120.46/x
  3. Step 3: Cross multiply
    2,342.00x = 3,214.11 × 2,120.46
  4. Step 4: Simplify right side
    2,342.00x = 6,815,391.69
  5. Step 5: Solve for x
    x = 6,815,391.69/2,342.00
  6. Step 6: Final answer
    x = 2,910.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.