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Finding the Fourth Proportional to 2,348.67, 3,522.15 and 704.67

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Solution

The fourth proportional to 2,348.67, 3,522.15 and 704.67 is: 1,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.67 : 3,522.15 = 704.67 : x
  2. Step 2: Convert to fraction form
    2,348.67/3,522.15 = 704.67/x
  3. Step 3: Cross multiply
    2,348.67x = 3,522.15 × 704.67
  4. Step 4: Simplify right side
    2,348.67x = 2,481,953.44
  5. Step 5: Solve for x
    x = 2,481,953.44/2,348.67
  6. Step 6: Final answer
    x = 1,056.75

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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.