Home / 3,122-4,676.34-2,023.10

Finding the Fourth Proportional to 3,122, 4,676.34 and 2,023.10

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Solution

The fourth proportional to 3,122, 4,676.34 and 2,023.10 is: 3,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122 : 4,676.34 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    3,122/4,676.34 = 2,023.10/x
  3. Step 3: Cross multiply
    3,122x = 4,676.34 × 2,023.10
  4. Step 4: Simplify right side
    3,122x = 9,460,703.45
  5. Step 5: Solve for x
    x = 9,460,703.45/3,122
  6. Step 6: Final answer
    x = 3,030.33

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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.