Home / 2,971.08-4,099.80-1,644.76

Finding the Fourth Proportional to 2,971.08, 4,099.80 and 1,644.76

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Solution

The fourth proportional to 2,971.08, 4,099.80 and 1,644.76 is: 2,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.08 : 4,099.80 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    2,971.08/4,099.80 = 1,644.76/x
  3. Step 3: Cross multiply
    2,971.08x = 4,099.80 × 1,644.76
  4. Step 4: Simplify right side
    2,971.08x = 6,743,187.05
  5. Step 5: Solve for x
    x = 6,743,187.05/2,971.08
  6. Step 6: Final answer
    x = 2,269.61

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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.