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Finding the Fourth Proportional to 1,948.44, 2,922.43 and 561.75

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Solution

The fourth proportional to 1,948.44, 2,922.43 and 561.75 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.44 : 2,922.43 = 561.75 : x
  2. Step 2: Convert to fraction form
    1,948.44/2,922.43 = 561.75/x
  3. Step 3: Cross multiply
    1,948.44x = 2,922.43 × 561.75
  4. Step 4: Simplify right side
    1,948.44x = 1,641,675.05
  5. Step 5: Solve for x
    x = 1,641,675.05/1,948.44
  6. Step 6: Final answer
    x = 842.56

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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.