Home / 3,106.16-4,660.77-2,288.06

Finding the Fourth Proportional to 3,106.16, 4,660.77 and 2,288.06

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Solution

The fourth proportional to 3,106.16, 4,660.77 and 2,288.06 is: 3,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.16 : 4,660.77 = 2,288.06 : x
  2. Step 2: Convert to fraction form
    3,106.16/4,660.77 = 2,288.06/x
  3. Step 3: Cross multiply
    3,106.16x = 4,660.77 × 2,288.06
  4. Step 4: Simplify right side
    3,106.16x = 10,664,124.16
  5. Step 5: Solve for x
    x = 10,664,124.16/3,106.16
  6. Step 6: Final answer
    x = 3,433.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.