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Finding the Fourth Proportional to 2,090.87, 3,136.35 and 630.03

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Solution

The fourth proportional to 2,090.87, 3,136.35 and 630.03 is: 945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.87 : 3,136.35 = 630.03 : x
  2. Step 2: Convert to fraction form
    2,090.87/3,136.35 = 630.03/x
  3. Step 3: Cross multiply
    2,090.87x = 3,136.35 × 630.03
  4. Step 4: Simplify right side
    2,090.87x = 1,975,994.59
  5. Step 5: Solve for x
    x = 1,975,994.59/2,090.87
  6. Step 6: Final answer
    x = 945.06

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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.