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Finding the Fourth Proportional to 1,269.68, 1,739.42 and 1,222.30

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Solution

The fourth proportional to 1,269.68, 1,739.42 and 1,222.30 is: 1,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.68 : 1,739.42 = 1,222.30 : x
  2. Step 2: Convert to fraction form
    1,269.68/1,739.42 = 1,222.30/x
  3. Step 3: Cross multiply
    1,269.68x = 1,739.42 × 1,222.30
  4. Step 4: Simplify right side
    1,269.68x = 2,126,093.07
  5. Step 5: Solve for x
    x = 2,126,093.07/1,269.68
  6. Step 6: Final answer
    x = 1,674.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.