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Finding the Fourth Proportional to 2,051.06, 3,078.65 and 1,079.21

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Solution

The fourth proportional to 2,051.06, 3,078.65 and 1,079.21 is: 1,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.06 : 3,078.65 = 1,079.21 : x
  2. Step 2: Convert to fraction form
    2,051.06/3,078.65 = 1,079.21/x
  3. Step 3: Cross multiply
    2,051.06x = 3,078.65 × 1,079.21
  4. Step 4: Simplify right side
    2,051.06x = 3,322,512.17
  5. Step 5: Solve for x
    x = 3,322,512.17/2,051.06
  6. Step 6: Final answer
    x = 1,619.90

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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.