Home / 2,741.86-3,784.22-2,038.38

Finding the Fourth Proportional to 2,741.86, 3,784.22 and 2,038.38

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Solution

The fourth proportional to 2,741.86, 3,784.22 and 2,038.38 is: 2,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.86 : 3,784.22 = 2,038.38 : x
  2. Step 2: Convert to fraction form
    2,741.86/3,784.22 = 2,038.38/x
  3. Step 3: Cross multiply
    2,741.86x = 3,784.22 × 2,038.38
  4. Step 4: Simplify right side
    2,741.86x = 7,713,661.62
  5. Step 5: Solve for x
    x = 7,713,661.62/2,741.86
  6. Step 6: Final answer
    x = 2,813.29

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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.