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Finding the Fourth Proportional to 1,768.67, 2,653.34 and 844.30

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Solution

The fourth proportional to 1,768.67, 2,653.34 and 844.30 is: 1,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.67 : 2,653.34 = 844.30 : x
  2. Step 2: Convert to fraction form
    1,768.67/2,653.34 = 844.30/x
  3. Step 3: Cross multiply
    1,768.67x = 2,653.34 × 844.30
  4. Step 4: Simplify right side
    1,768.67x = 2,240,197.47
  5. Step 5: Solve for x
    x = 2,240,197.47/1,768.67
  6. Step 6: Final answer
    x = 1,266.60

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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.