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Finding the Fourth Proportional to 1,261.12, 1,889.52 and 937.12

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Solution

The fourth proportional to 1,261.12, 1,889.52 and 937.12 is: 1,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.12 : 1,889.52 = 937.12 : x
  2. Step 2: Convert to fraction form
    1,261.12/1,889.52 = 937.12/x
  3. Step 3: Cross multiply
    1,261.12x = 1,889.52 × 937.12
  4. Step 4: Simplify right side
    1,261.12x = 1,770,706.98
  5. Step 5: Solve for x
    x = 1,770,706.98/1,261.12
  6. Step 6: Final answer
    x = 1,404.07

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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.