Home / 2,102.36-3,146.28-1,311.44

Finding the Fourth Proportional to 2,102.36, 3,146.28 and 1,311.44

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Solution

The fourth proportional to 2,102.36, 3,146.28 and 1,311.44 is: 1,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.36 : 3,146.28 = 1,311.44 : x
  2. Step 2: Convert to fraction form
    2,102.36/3,146.28 = 1,311.44/x
  3. Step 3: Cross multiply
    2,102.36x = 3,146.28 × 1,311.44
  4. Step 4: Simplify right side
    2,102.36x = 4,126,157.44
  5. Step 5: Solve for x
    x = 4,126,157.44/2,102.36
  6. Step 6: Final answer
    x = 1,962.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.