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Finding the Fourth Proportional to 1,790.64, 2,679.55 and 1,297.62

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Solution

The fourth proportional to 1,790.64, 2,679.55 and 1,297.62 is: 1,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.64 : 2,679.55 = 1,297.62 : x
  2. Step 2: Convert to fraction form
    1,790.64/2,679.55 = 1,297.62/x
  3. Step 3: Cross multiply
    1,790.64x = 2,679.55 × 1,297.62
  4. Step 4: Simplify right side
    1,790.64x = 3,477,034.43
  5. Step 5: Solve for x
    x = 3,477,034.43/1,790.64
  6. Step 6: Final answer
    x = 1,941.78

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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.