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Finding the Fourth Proportional to 2,090.57, 3,136.10 and 704.04

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Solution

The fourth proportional to 2,090.57, 3,136.10 and 704.04 is: 1,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.57 : 3,136.10 = 704.04 : x
  2. Step 2: Convert to fraction form
    2,090.57/3,136.10 = 704.04/x
  3. Step 3: Cross multiply
    2,090.57x = 3,136.10 × 704.04
  4. Step 4: Simplify right side
    2,090.57x = 2,207,936.32
  5. Step 5: Solve for x
    x = 2,207,936.32/2,090.57
  6. Step 6: Final answer
    x = 1,056.14

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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.