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Finding the Fourth Proportional to 1,771.98, 2,658.33 and 618.54

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Solution

The fourth proportional to 1,771.98, 2,658.33 and 618.54 is: 927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.98 : 2,658.33 = 618.54 : x
  2. Step 2: Convert to fraction form
    1,771.98/2,658.33 = 618.54/x
  3. Step 3: Cross multiply
    1,771.98x = 2,658.33 × 618.54
  4. Step 4: Simplify right side
    1,771.98x = 1,644,283.44
  5. Step 5: Solve for x
    x = 1,644,283.44/1,771.98
  6. Step 6: Final answer
    x = 927.94

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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.