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Finding the Fourth Proportional to 2,090.88, 3,136.74 and 630.16

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Solution

The fourth proportional to 2,090.88, 3,136.74 and 630.16 is: 945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.88 : 3,136.74 = 630.16 : x
  2. Step 2: Convert to fraction form
    2,090.88/3,136.74 = 630.16/x
  3. Step 3: Cross multiply
    2,090.88x = 3,136.74 × 630.16
  4. Step 4: Simplify right side
    2,090.88x = 1,976,648.08
  5. Step 5: Solve for x
    x = 1,976,648.08/2,090.88
  6. Step 6: Final answer
    x = 945.37

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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.