Home / 2,138.76-3,206.75-1,406.11

Finding the Fourth Proportional to 2,138.76, 3,206.75 and 1,406.11

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Solution

The fourth proportional to 2,138.76, 3,206.75 and 1,406.11 is: 2,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 3,206.75 = 1,406.11 : x
  2. Step 2: Convert to fraction form
    2,138.76/3,206.75 = 1,406.11/x
  3. Step 3: Cross multiply
    2,138.76x = 3,206.75 × 1,406.11
  4. Step 4: Simplify right side
    2,138.76x = 4,509,043.24
  5. Step 5: Solve for x
    x = 4,509,043.24/2,138.76
  6. Step 6: Final answer
    x = 2,108.25

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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.