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Finding the Fourth Proportional to 2,090.99, 3,134.43 and 1,166.99

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Solution

The fourth proportional to 2,090.99, 3,134.43 and 1,166.99 is: 1,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.99 : 3,134.43 = 1,166.99 : x
  2. Step 2: Convert to fraction form
    2,090.99/3,134.43 = 1,166.99/x
  3. Step 3: Cross multiply
    2,090.99x = 3,134.43 × 1,166.99
  4. Step 4: Simplify right side
    2,090.99x = 3,657,832.79
  5. Step 5: Solve for x
    x = 3,657,832.79/2,090.99
  6. Step 6: Final answer
    x = 1,749.33

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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.