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Finding the Fourth Proportional to 1,269.06, 1,749.90 and 1,091.82

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Solution

The fourth proportional to 1,269.06, 1,749.90 and 1,091.82 is: 1,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.06 : 1,749.90 = 1,091.82 : x
  2. Step 2: Convert to fraction form
    1,269.06/1,749.90 = 1,091.82/x
  3. Step 3: Cross multiply
    1,269.06x = 1,749.90 × 1,091.82
  4. Step 4: Simplify right side
    1,269.06x = 1,910,575.82
  5. Step 5: Solve for x
    x = 1,910,575.82/1,269.06
  6. Step 6: Final answer
    x = 1,505.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.