Home / 2,154.10-3,231.42-1,057.54

Finding the Fourth Proportional to 2,154.10, 3,231.42 and 1,057.54

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Solution

The fourth proportional to 2,154.10, 3,231.42 and 1,057.54 is: 1,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.10 : 3,231.42 = 1,057.54 : x
  2. Step 2: Convert to fraction form
    2,154.10/3,231.42 = 1,057.54/x
  3. Step 3: Cross multiply
    2,154.10x = 3,231.42 × 1,057.54
  4. Step 4: Simplify right side
    2,154.10x = 3,417,355.91
  5. Step 5: Solve for x
    x = 3,417,355.91/2,154.10
  6. Step 6: Final answer
    x = 1,586.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.