Home / 3,022.89-4,533.11-942.20

Finding the Fourth Proportional to 3,022.89, 4,533.11 and 942.20

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Solution

The fourth proportional to 3,022.89, 4,533.11 and 942.20 is: 1,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.89 : 4,533.11 = 942.20 : x
  2. Step 2: Convert to fraction form
    3,022.89/4,533.11 = 942.20/x
  3. Step 3: Cross multiply
    3,022.89x = 4,533.11 × 942.20
  4. Step 4: Simplify right side
    3,022.89x = 4,271,068.87
  5. Step 5: Solve for x
    x = 4,271,068.87/3,022.89
  6. Step 6: Final answer
    x = 1,412.91

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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.