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Finding the Fourth Proportional to 1,269.76, 1,761.25 and 1,236.06

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Solution

The fourth proportional to 1,269.76, 1,761.25 and 1,236.06 is: 1,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.76 : 1,761.25 = 1,236.06 : x
  2. Step 2: Convert to fraction form
    1,269.76/1,761.25 = 1,236.06/x
  3. Step 3: Cross multiply
    1,269.76x = 1,761.25 × 1,236.06
  4. Step 4: Simplify right side
    1,269.76x = 2,177,004.49
  5. Step 5: Solve for x
    x = 2,177,004.49/1,269.76
  6. Step 6: Final answer
    x = 1,714.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.