Home / 2,970.29-4,099.07-1,644.09

Finding the Fourth Proportional to 2,970.29, 4,099.07 and 1,644.09

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Solution

The fourth proportional to 2,970.29, 4,099.07 and 1,644.09 is: 2,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.29 : 4,099.07 = 1,644.09 : x
  2. Step 2: Convert to fraction form
    2,970.29/4,099.07 = 1,644.09/x
  3. Step 3: Cross multiply
    2,970.29x = 4,099.07 × 1,644.09
  4. Step 4: Simplify right side
    2,970.29x = 6,739,211.28
  5. Step 5: Solve for x
    x = 6,739,211.28/2,970.29
  6. Step 6: Final answer
    x = 2,268.87

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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.