Home / 1,228.45-1,842.98-1,022.06

Finding the Fourth Proportional to 1,228.45, 1,842.98 and 1,022.06

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Solution

The fourth proportional to 1,228.45, 1,842.98 and 1,022.06 is: 1,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.45 : 1,842.98 = 1,022.06 : x
  2. Step 2: Convert to fraction form
    1,228.45/1,842.98 = 1,022.06/x
  3. Step 3: Cross multiply
    1,228.45x = 1,842.98 × 1,022.06
  4. Step 4: Simplify right side
    1,228.45x = 1,883,636.14
  5. Step 5: Solve for x
    x = 1,883,636.14/1,228.45
  6. Step 6: Final answer
    x = 1,533.34

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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.