Home / 2,161.56-2,982.84-1,230

Finding the Fourth Proportional to 2,161.56, 2,982.84 and 1,230

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Solution

The fourth proportional to 2,161.56, 2,982.84 and 1,230 is: 1,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.56 : 2,982.84 = 1,230 : x
  2. Step 2: Convert to fraction form
    2,161.56/2,982.84 = 1,230/x
  3. Step 3: Cross multiply
    2,161.56x = 2,982.84 × 1,230
  4. Step 4: Simplify right side
    2,161.56x = 3,668,893.20
  5. Step 5: Solve for x
    x = 3,668,893.20/2,161.56
  6. Step 6: Final answer
    x = 1,697.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.