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Finding the Fourth Proportional to 2,971.05, 4,100.48 and 1,711.86

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Solution

The fourth proportional to 2,971.05, 4,100.48 and 1,711.86 is: 2,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.05 : 4,100.48 = 1,711.86 : x
  2. Step 2: Convert to fraction form
    2,971.05/4,100.48 = 1,711.86/x
  3. Step 3: Cross multiply
    2,971.05x = 4,100.48 × 1,711.86
  4. Step 4: Simplify right side
    2,971.05x = 7,019,454.96
  5. Step 5: Solve for x
    x = 7,019,454.96/2,971.05
  6. Step 6: Final answer
    x = 2,362.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.