Home / 2,228.16-3,074.70-1,283.28

Finding the Fourth Proportional to 2,228.16, 3,074.70 and 1,283.28

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Solution

The fourth proportional to 2,228.16, 3,074.70 and 1,283.28 is: 1,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.16 : 3,074.70 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    2,228.16/3,074.70 = 1,283.28/x
  3. Step 3: Cross multiply
    2,228.16x = 3,074.70 × 1,283.28
  4. Step 4: Simplify right side
    2,228.16x = 3,945,701.02
  5. Step 5: Solve for x
    x = 3,945,701.02/2,228.16
  6. Step 6: Final answer
    x = 1,770.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.