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Finding the Fourth Proportional to 2,348.24, 3,522.94 and 704.80

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Solution

The fourth proportional to 2,348.24, 3,522.94 and 704.80 is: 1,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.24 : 3,522.94 = 704.80 : x
  2. Step 2: Convert to fraction form
    2,348.24/3,522.94 = 704.80/x
  3. Step 3: Cross multiply
    2,348.24x = 3,522.94 × 704.80
  4. Step 4: Simplify right side
    2,348.24x = 2,482,968.11
  5. Step 5: Solve for x
    x = 2,482,968.11/2,348.24
  6. Step 6: Final answer
    x = 1,057.37

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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.