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Finding the Fourth Proportional to 2,047.78, 3,069.93 and 1,267.75

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Solution

The fourth proportional to 2,047.78, 3,069.93 and 1,267.75 is: 1,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.78 : 3,069.93 = 1,267.75 : x
  2. Step 2: Convert to fraction form
    2,047.78/3,069.93 = 1,267.75/x
  3. Step 3: Cross multiply
    2,047.78x = 3,069.93 × 1,267.75
  4. Step 4: Simplify right side
    2,047.78x = 3,891,903.76
  5. Step 5: Solve for x
    x = 3,891,903.76/2,047.78
  6. Step 6: Final answer
    x = 1,900.55

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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.