Home / 2,906.24-4,010.72-1,664

Finding the Fourth Proportional to 2,906.24, 4,010.72 and 1,664

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Solution

The fourth proportional to 2,906.24, 4,010.72 and 1,664 is: 2,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.24 : 4,010.72 = 1,664 : x
  2. Step 2: Convert to fraction form
    2,906.24/4,010.72 = 1,664/x
  3. Step 3: Cross multiply
    2,906.24x = 4,010.72 × 1,664
  4. Step 4: Simplify right side
    2,906.24x = 6,673,838.08
  5. Step 5: Solve for x
    x = 6,673,838.08/2,906.24
  6. Step 6: Final answer
    x = 2,296.38

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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.