Home / 1,982.27-2,970.37-1,057.96

Finding the Fourth Proportional to 1,982.27, 2,970.37 and 1,057.96

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Solution

The fourth proportional to 1,982.27, 2,970.37 and 1,057.96 is: 1,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.27 : 2,970.37 = 1,057.96 : x
  2. Step 2: Convert to fraction form
    1,982.27/2,970.37 = 1,057.96/x
  3. Step 3: Cross multiply
    1,982.27x = 2,970.37 × 1,057.96
  4. Step 4: Simplify right side
    1,982.27x = 3,142,537.68
  5. Step 5: Solve for x
    x = 3,142,537.68/1,982.27
  6. Step 6: Final answer
    x = 1,585.32

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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.