Home / 2,102.42-3,149.08-1,369.78

Finding the Fourth Proportional to 2,102.42, 3,149.08 and 1,369.78

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Solution

The fourth proportional to 2,102.42, 3,149.08 and 1,369.78 is: 2,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.42 : 3,149.08 = 1,369.78 : x
  2. Step 2: Convert to fraction form
    2,102.42/3,149.08 = 1,369.78/x
  3. Step 3: Cross multiply
    2,102.42x = 3,149.08 × 1,369.78
  4. Step 4: Simplify right side
    2,102.42x = 4,313,535.51
  5. Step 5: Solve for x
    x = 4,313,535.51/2,102.42
  6. Step 6: Final answer
    x = 2,051.70

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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.