Home / 2,106.24-2,906.63-1,162.06

Finding the Fourth Proportional to 2,106.24, 2,906.63 and 1,162.06

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Solution

The fourth proportional to 2,106.24, 2,906.63 and 1,162.06 is: 1,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.24 : 2,906.63 = 1,162.06 : x
  2. Step 2: Convert to fraction form
    2,106.24/2,906.63 = 1,162.06/x
  3. Step 3: Cross multiply
    2,106.24x = 2,906.63 × 1,162.06
  4. Step 4: Simplify right side
    2,106.24x = 3,377,669.74
  5. Step 5: Solve for x
    x = 3,377,669.74/2,106.24
  6. Step 6: Final answer
    x = 1,603.65

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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.