Home / 3,102.33-4,653.55-1,022.46

Finding the Fourth Proportional to 3,102.33, 4,653.55 and 1,022.46

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Solution

The fourth proportional to 3,102.33, 4,653.55 and 1,022.46 is: 1,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.33 : 4,653.55 = 1,022.46 : x
  2. Step 2: Convert to fraction form
    3,102.33/4,653.55 = 1,022.46/x
  3. Step 3: Cross multiply
    3,102.33x = 4,653.55 × 1,022.46
  4. Step 4: Simplify right side
    3,102.33x = 4,758,052.56
  5. Step 5: Solve for x
    x = 4,758,052.56/3,102.33
  6. Step 6: Final answer
    x = 1,533.70

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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.