Home / 1,982.12-2,971.03-1,289.28

Finding the Fourth Proportional to 1,982.12, 2,971.03 and 1,289.28

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Solution

The fourth proportional to 1,982.12, 2,971.03 and 1,289.28 is: 1,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.12 : 2,971.03 = 1,289.28 : x
  2. Step 2: Convert to fraction form
    1,982.12/2,971.03 = 1,289.28/x
  3. Step 3: Cross multiply
    1,982.12x = 2,971.03 × 1,289.28
  4. Step 4: Simplify right side
    1,982.12x = 3,830,491.54
  5. Step 5: Solve for x
    x = 3,830,491.54/1,982.12
  6. Step 6: Final answer
    x = 1,932.52

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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.