Home / 2,741.07-4,113.24-1,442.64

Finding the Fourth Proportional to 2,741.07, 4,113.24 and 1,442.64

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Solution

The fourth proportional to 2,741.07, 4,113.24 and 1,442.64 is: 2,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.07 : 4,113.24 = 1,442.64 : x
  2. Step 2: Convert to fraction form
    2,741.07/4,113.24 = 1,442.64/x
  3. Step 3: Cross multiply
    2,741.07x = 4,113.24 × 1,442.64
  4. Step 4: Simplify right side
    2,741.07x = 5,933,924.55
  5. Step 5: Solve for x
    x = 5,933,924.55/2,741.07
  6. Step 6: Final answer
    x = 2,164.82

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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.