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Finding the Fourth Proportional to 1,273.87, 1,907.56 and 1,166.95

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Solution

The fourth proportional to 1,273.87, 1,907.56 and 1,166.95 is: 1,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.87 : 1,907.56 = 1,166.95 : x
  2. Step 2: Convert to fraction form
    1,273.87/1,907.56 = 1,166.95/x
  3. Step 3: Cross multiply
    1,273.87x = 1,907.56 × 1,166.95
  4. Step 4: Simplify right side
    1,273.87x = 2,226,027.14
  5. Step 5: Solve for x
    x = 2,226,027.14/1,273.87
  6. Step 6: Final answer
    x = 1,747.45

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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.