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Finding the Fourth Proportional to 1,385.46, 2,079.09 and 1,274.22

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Solution

The fourth proportional to 1,385.46, 2,079.09 and 1,274.22 is: 1,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.46 : 2,079.09 = 1,274.22 : x
  2. Step 2: Convert to fraction form
    1,385.46/2,079.09 = 1,274.22/x
  3. Step 3: Cross multiply
    1,385.46x = 2,079.09 × 1,274.22
  4. Step 4: Simplify right side
    1,385.46x = 2,649,218.06
  5. Step 5: Solve for x
    x = 2,649,218.06/1,385.46
  6. Step 6: Final answer
    x = 1,912.16

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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.