Home / 2,022.14-3,033.18-654.14

Finding the Fourth Proportional to 2,022.14, 3,033.18 and 654.14

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Solution

The fourth proportional to 2,022.14, 3,033.18 and 654.14 is: 981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.14 : 3,033.18 = 654.14 : x
  2. Step 2: Convert to fraction form
    2,022.14/3,033.18 = 654.14/x
  3. Step 3: Cross multiply
    2,022.14x = 3,033.18 × 654.14
  4. Step 4: Simplify right side
    2,022.14x = 1,984,124.37
  5. Step 5: Solve for x
    x = 1,984,124.37/2,022.14
  6. Step 6: Final answer
    x = 981.20

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1.5x scale

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.