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Finding the Fourth Proportional to 2,090.90, 3,136.46 and 704.12

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Solution

The fourth proportional to 2,090.90, 3,136.46 and 704.12 is: 1,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.90 : 3,136.46 = 704.12 : x
  2. Step 2: Convert to fraction form
    2,090.90/3,136.46 = 704.12/x
  3. Step 3: Cross multiply
    2,090.90x = 3,136.46 × 704.12
  4. Step 4: Simplify right side
    2,090.90x = 2,208,425.01
  5. Step 5: Solve for x
    x = 2,208,425.01/2,090.90
  6. Step 6: Final answer
    x = 1,056.21

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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.