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Finding the Fourth Proportional to 2,090.54, 3,136.02 and 774.02

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Solution

The fourth proportional to 2,090.54, 3,136.02 and 774.02 is: 1,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.54 : 3,136.02 = 774.02 : x
  2. Step 2: Convert to fraction form
    2,090.54/3,136.02 = 774.02/x
  3. Step 3: Cross multiply
    2,090.54x = 3,136.02 × 774.02
  4. Step 4: Simplify right side
    2,090.54x = 2,427,342.20
  5. Step 5: Solve for x
    x = 2,427,342.20/2,090.54
  6. Step 6: Final answer
    x = 1,161.11

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1.5x scale

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.