Home / 2,922.26-4,033.54-1,664

Finding the Fourth Proportional to 2,922.26, 4,033.54 and 1,664

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Solution

The fourth proportional to 2,922.26, 4,033.54 and 1,664 is: 2,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.26 : 4,033.54 = 1,664 : x
  2. Step 2: Convert to fraction form
    2,922.26/4,033.54 = 1,664/x
  3. Step 3: Cross multiply
    2,922.26x = 4,033.54 × 1,664
  4. Step 4: Simplify right side
    2,922.26x = 6,711,810.56
  5. Step 5: Solve for x
    x = 6,711,810.56/2,922.26
  6. Step 6: Final answer
    x = 2,296.79

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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.