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Finding the Fourth Proportional to 1,942.25, 2,912.88 and 555.59

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Solution

The fourth proportional to 1,942.25, 2,912.88 and 555.59 is: 833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.25 : 2,912.88 = 555.59 : x
  2. Step 2: Convert to fraction form
    1,942.25/2,912.88 = 555.59/x
  3. Step 3: Cross multiply
    1,942.25x = 2,912.88 × 555.59
  4. Step 4: Simplify right side
    1,942.25x = 1,618,370.64
  5. Step 5: Solve for x
    x = 1,618,370.64/1,942.25
  6. Step 6: Final answer
    x = 833.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.