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Finding the Fourth Proportional to 2,242.67, 3,363.46 and 703.67

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Solution

The fourth proportional to 2,242.67, 3,363.46 and 703.67 is: 1,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.67 : 3,363.46 = 703.67 : x
  2. Step 2: Convert to fraction form
    2,242.67/3,363.46 = 703.67/x
  3. Step 3: Cross multiply
    2,242.67x = 3,363.46 × 703.67
  4. Step 4: Simplify right side
    2,242.67x = 2,366,765.90
  5. Step 5: Solve for x
    x = 2,366,765.90/2,242.67
  6. Step 6: Final answer
    x = 1,055.33

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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.