Home / 2,741.12-4,112.04-1,097.84

Finding the Fourth Proportional to 2,741.12, 4,112.04 and 1,097.84

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Solution

The fourth proportional to 2,741.12, 4,112.04 and 1,097.84 is: 1,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.12 : 4,112.04 = 1,097.84 : x
  2. Step 2: Convert to fraction form
    2,741.12/4,112.04 = 1,097.84/x
  3. Step 3: Cross multiply
    2,741.12x = 4,112.04 × 1,097.84
  4. Step 4: Simplify right side
    2,741.12x = 4,514,361.99
  5. Step 5: Solve for x
    x = 4,514,361.99/2,741.12
  6. Step 6: Final answer
    x = 1,646.90

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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.