Home / 3,102.80-4,653.63-1,022.82

Finding the Fourth Proportional to 3,102.80, 4,653.63 and 1,022.82

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Solution

The fourth proportional to 3,102.80, 4,653.63 and 1,022.82 is: 1,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.80 : 4,653.63 = 1,022.82 : x
  2. Step 2: Convert to fraction form
    3,102.80/4,653.63 = 1,022.82/x
  3. Step 3: Cross multiply
    3,102.80x = 4,653.63 × 1,022.82
  4. Step 4: Simplify right side
    3,102.80x = 4,759,825.84
  5. Step 5: Solve for x
    x = 4,759,825.84/3,102.80
  6. Step 6: Final answer
    x = 1,534.04

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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.