Home / 2,214.46-3,323.04-982.45

Finding the Fourth Proportional to 2,214.46, 3,323.04 and 982.45

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Solution

The fourth proportional to 2,214.46, 3,323.04 and 982.45 is: 1,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.46 : 3,323.04 = 982.45 : x
  2. Step 2: Convert to fraction form
    2,214.46/3,323.04 = 982.45/x
  3. Step 3: Cross multiply
    2,214.46x = 3,323.04 × 982.45
  4. Step 4: Simplify right side
    2,214.46x = 3,264,720.65
  5. Step 5: Solve for x
    x = 3,264,720.65/2,214.46
  6. Step 6: Final answer
    x = 1,474.27

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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.