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Finding the Fourth Proportional to 2,047.95, 3,069.73 and 1,168.56

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Solution

The fourth proportional to 2,047.95, 3,069.73 and 1,168.56 is: 1,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.95 : 3,069.73 = 1,168.56 : x
  2. Step 2: Convert to fraction form
    2,047.95/3,069.73 = 1,168.56/x
  3. Step 3: Cross multiply
    2,047.95x = 3,069.73 × 1,168.56
  4. Step 4: Simplify right side
    2,047.95x = 3,587,148.34
  5. Step 5: Solve for x
    x = 3,587,148.34/2,047.95
  6. Step 6: Final answer
    x = 1,751.58

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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.