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Finding the Fourth Proportional to 2,653.59, 3,980.41 and 922.22

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Solution

The fourth proportional to 2,653.59, 3,980.41 and 922.22 is: 1,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.59 : 3,980.41 = 922.22 : x
  2. Step 2: Convert to fraction form
    2,653.59/3,980.41 = 922.22/x
  3. Step 3: Cross multiply
    2,653.59x = 3,980.41 × 922.22
  4. Step 4: Simplify right side
    2,653.59x = 3,670,806.43
  5. Step 5: Solve for x
    x = 3,670,806.43/2,653.59
  6. Step 6: Final answer
    x = 1,383.33

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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.