Home / 2,242.33-3,358.29-2,164.47

Finding the Fourth Proportional to 2,242.33, 3,358.29 and 2,164.47

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Solution

The fourth proportional to 2,242.33, 3,358.29 and 2,164.47 is: 3,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.33 : 3,358.29 = 2,164.47 : x
  2. Step 2: Convert to fraction form
    2,242.33/3,358.29 = 2,164.47/x
  3. Step 3: Cross multiply
    2,242.33x = 3,358.29 × 2,164.47
  4. Step 4: Simplify right side
    2,242.33x = 7,268,914.11
  5. Step 5: Solve for x
    x = 7,268,914.11/2,242.33
  6. Step 6: Final answer
    x = 3,241.67

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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.