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Finding the Fourth Proportional to 2,090.78, 3,136.32 and 704.12

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Solution

The fourth proportional to 2,090.78, 3,136.32 and 704.12 is: 1,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.78 : 3,136.32 = 704.12 : x
  2. Step 2: Convert to fraction form
    2,090.78/3,136.32 = 704.12/x
  3. Step 3: Cross multiply
    2,090.78x = 3,136.32 × 704.12
  4. Step 4: Simplify right side
    2,090.78x = 2,208,329.96
  5. Step 5: Solve for x
    x = 2,208,329.96/2,090.78
  6. Step 6: Final answer
    x = 1,056.22

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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.