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Finding the Fourth Proportional to 2,090.85, 3,136.40 and 921.41

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Solution

The fourth proportional to 2,090.85, 3,136.40 and 921.41 is: 1,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.85 : 3,136.40 = 921.41 : x
  2. Step 2: Convert to fraction form
    2,090.85/3,136.40 = 921.41/x
  3. Step 3: Cross multiply
    2,090.85x = 3,136.40 × 921.41
  4. Step 4: Simplify right side
    2,090.85x = 2,889,890.03
  5. Step 5: Solve for x
    x = 2,889,890.03/2,090.85
  6. Step 6: Final answer
    x = 1,382.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.