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Finding the Fourth Proportional to 2,047.36, 3,066.56 and 1,179.52

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Solution

The fourth proportional to 2,047.36, 3,066.56 and 1,179.52 is: 1,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.36 : 3,066.56 = 1,179.52 : x
  2. Step 2: Convert to fraction form
    2,047.36/3,066.56 = 1,179.52/x
  3. Step 3: Cross multiply
    2,047.36x = 3,066.56 × 1,179.52
  4. Step 4: Simplify right side
    2,047.36x = 3,617,068.85
  5. Step 5: Solve for x
    x = 3,617,068.85/2,047.36
  6. Step 6: Final answer
    x = 1,766.70

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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.