Home / 2,022.32-3,033.40-561.44

Finding the Fourth Proportional to 2,022.32, 3,033.40 and 561.44

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Solution

The fourth proportional to 2,022.32, 3,033.40 and 561.44 is: 842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.32 : 3,033.40 = 561.44 : x
  2. Step 2: Convert to fraction form
    2,022.32/3,033.40 = 561.44/x
  3. Step 3: Cross multiply
    2,022.32x = 3,033.40 × 561.44
  4. Step 4: Simplify right side
    2,022.32x = 1,703,072.10
  5. Step 5: Solve for x
    x = 1,703,072.10/2,022.32
  6. Step 6: Final answer
    x = 842.14

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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.