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Finding the Fourth Proportional to 1,471.81, 2,031.29 and 949.36

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Solution

The fourth proportional to 1,471.81, 2,031.29 and 949.36 is: 1,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.81 : 2,031.29 = 949.36 : x
  2. Step 2: Convert to fraction form
    1,471.81/2,031.29 = 949.36/x
  3. Step 3: Cross multiply
    1,471.81x = 2,031.29 × 949.36
  4. Step 4: Simplify right side
    1,471.81x = 1,928,419.21
  5. Step 5: Solve for x
    x = 1,928,419.21/1,471.81
  6. Step 6: Final answer
    x = 1,310.24

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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.