Home / 1,509.20-2,082.78-949.46

Finding the Fourth Proportional to 1,509.20, 2,082.78 and 949.46

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Solution

The fourth proportional to 1,509.20, 2,082.78 and 949.46 is: 1,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.20 : 2,082.78 = 949.46 : x
  2. Step 2: Convert to fraction form
    1,509.20/2,082.78 = 949.46/x
  3. Step 3: Cross multiply
    1,509.20x = 2,082.78 × 949.46
  4. Step 4: Simplify right side
    1,509.20x = 1,977,516.30
  5. Step 5: Solve for x
    x = 1,977,516.30/1,509.20
  6. Step 6: Final answer
    x = 1,310.31

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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.