Home / 2,022.80-3,012.94-1,928

Finding the Fourth Proportional to 2,022.80, 3,012.94 and 1,928

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Solution

The fourth proportional to 2,022.80, 3,012.94 and 1,928 is: 2,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.80 : 3,012.94 = 1,928 : x
  2. Step 2: Convert to fraction form
    2,022.80/3,012.94 = 1,928/x
  3. Step 3: Cross multiply
    2,022.80x = 3,012.94 × 1,928
  4. Step 4: Simplify right side
    2,022.80x = 5,808,948.32
  5. Step 5: Solve for x
    x = 5,808,948.32/2,022.80
  6. Step 6: Final answer
    x = 2,871.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.