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Finding the Fourth Proportional to 2,940.98, 4,412.57 and 1,771.80

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Solution

The fourth proportional to 2,940.98, 4,412.57 and 1,771.80 is: 2,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.98 : 4,412.57 = 1,771.80 : x
  2. Step 2: Convert to fraction form
    2,940.98/4,412.57 = 1,771.80/x
  3. Step 3: Cross multiply
    2,940.98x = 4,412.57 × 1,771.80
  4. Step 4: Simplify right side
    2,940.98x = 7,818,182.67
  5. Step 5: Solve for x
    x = 7,818,182.67/2,940.98
  6. Step 6: Final answer
    x = 2,658.36

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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.