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Finding the Fourth Proportional to 2,047.64, 3,069.02 and 1,180.16

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Solution

The fourth proportional to 2,047.64, 3,069.02 and 1,180.16 is: 1,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.64 : 3,069.02 = 1,180.16 : x
  2. Step 2: Convert to fraction form
    2,047.64/3,069.02 = 1,180.16/x
  3. Step 3: Cross multiply
    2,047.64x = 3,069.02 × 1,180.16
  4. Step 4: Simplify right side
    2,047.64x = 3,621,922.25
  5. Step 5: Solve for x
    x = 3,621,922.25/2,047.64
  6. Step 6: Final answer
    x = 1,768.83

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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.