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Finding the Fourth Proportional to 1,768.40, 2,649.60 and 1,072.94

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Solution

The fourth proportional to 1,768.40, 2,649.60 and 1,072.94 is: 1,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.40 : 2,649.60 = 1,072.94 : x
  2. Step 2: Convert to fraction form
    1,768.40/2,649.60 = 1,072.94/x
  3. Step 3: Cross multiply
    1,768.40x = 2,649.60 × 1,072.94
  4. Step 4: Simplify right side
    1,768.40x = 2,842,861.82
  5. Step 5: Solve for x
    x = 2,842,861.82/1,768.40
  6. Step 6: Final answer
    x = 1,607.59

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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.