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Finding the Fourth Proportional to 2,064.97, 3,090.26 and 1,690.45

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Solution

The fourth proportional to 2,064.97, 3,090.26 and 1,690.45 is: 2,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.97 : 3,090.26 = 1,690.45 : x
  2. Step 2: Convert to fraction form
    2,064.97/3,090.26 = 1,690.45/x
  3. Step 3: Cross multiply
    2,064.97x = 3,090.26 × 1,690.45
  4. Step 4: Simplify right side
    2,064.97x = 5,223,906.11
  5. Step 5: Solve for x
    x = 5,223,906.11/2,064.97
  6. Step 6: Final answer
    x = 2,529.78

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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.