Home / 3,052.14-4,576.78-1,408.20

Finding the Fourth Proportional to 3,052.14, 4,576.78 and 1,408.20

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Solution

The fourth proportional to 3,052.14, 4,576.78 and 1,408.20 is: 2,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.14 : 4,576.78 = 1,408.20 : x
  2. Step 2: Convert to fraction form
    3,052.14/4,576.78 = 1,408.20/x
  3. Step 3: Cross multiply
    3,052.14x = 4,576.78 × 1,408.20
  4. Step 4: Simplify right side
    3,052.14x = 6,445,021.60
  5. Step 5: Solve for x
    x = 6,445,021.60/3,052.14
  6. Step 6: Final answer
    x = 2,111.64

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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.