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Finding the Fourth Proportional to 1,676.50, 2,313.57 and 940.50

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Solution

The fourth proportional to 1,676.50, 2,313.57 and 940.50 is: 1,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.50 : 2,313.57 = 940.50 : x
  2. Step 2: Convert to fraction form
    1,676.50/2,313.57 = 940.50/x
  3. Step 3: Cross multiply
    1,676.50x = 2,313.57 × 940.50
  4. Step 4: Simplify right side
    1,676.50x = 2,175,912.59
  5. Step 5: Solve for x
    x = 2,175,912.59/1,676.50
  6. Step 6: Final answer
    x = 1,297.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.