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Finding the Fourth Proportional to 4,695.89, 7,043.83 and 2,097

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Solution

The fourth proportional to 4,695.89, 7,043.83 and 2,097 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.89 : 7,043.83 = 2,097 : x
  2. Step 2: Convert to fraction form
    4,695.89/7,043.83 = 2,097/x
  3. Step 3: Cross multiply
    4,695.89x = 7,043.83 × 2,097
  4. Step 4: Simplify right side
    4,695.89x = 14,770,906.27
  5. Step 5: Solve for x
    x = 14,770,906.27/4,695.89
  6. Step 6: Final answer
    x = 3,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.