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Finding the Fourth Proportional to 2,717.82, 4,070.70 and 2,097

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Solution

The fourth proportional to 2,717.82, 4,070.70 and 2,097 is: 3,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.82 : 4,070.70 = 2,097 : x
  2. Step 2: Convert to fraction form
    2,717.82/4,070.70 = 2,097/x
  3. Step 3: Cross multiply
    2,717.82x = 4,070.70 × 2,097
  4. Step 4: Simplify right side
    2,717.82x = 8,536,257.90
  5. Step 5: Solve for x
    x = 8,536,257.90/2,717.82
  6. Step 6: Final answer
    x = 3,140.85

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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.