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Finding the Fourth Proportional to 1,969.89, 2,952.81 and 670.38

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Solution

The fourth proportional to 1,969.89, 2,952.81 and 670.38 is: 1,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.89 : 2,952.81 = 670.38 : x
  2. Step 2: Convert to fraction form
    1,969.89/2,952.81 = 670.38/x
  3. Step 3: Cross multiply
    1,969.89x = 2,952.81 × 670.38
  4. Step 4: Simplify right side
    1,969.89x = 1,979,504.77
  5. Step 5: Solve for x
    x = 1,979,504.77/1,969.89
  6. Step 6: Final answer
    x = 1,004.88

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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.