Home / 2,057.13-3,082.85-1,782.54

Finding the Fourth Proportional to 2,057.13, 3,082.85 and 1,782.54

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Solution

The fourth proportional to 2,057.13, 3,082.85 and 1,782.54 is: 2,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.13 : 3,082.85 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    2,057.13/3,082.85 = 1,782.54/x
  3. Step 3: Cross multiply
    2,057.13x = 3,082.85 × 1,782.54
  4. Step 4: Simplify right side
    2,057.13x = 5,495,301.21
  5. Step 5: Solve for x
    x = 5,495,301.21/2,057.13
  6. Step 6: Final answer
    x = 2,671.34

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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.