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Finding the Fourth Proportional to 1,265.89, 1,889.46 and 1,187.98

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Solution

The fourth proportional to 1,265.89, 1,889.46 and 1,187.98 is: 1,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.89 : 1,889.46 = 1,187.98 : x
  2. Step 2: Convert to fraction form
    1,265.89/1,889.46 = 1,187.98/x
  3. Step 3: Cross multiply
    1,265.89x = 1,889.46 × 1,187.98
  4. Step 4: Simplify right side
    1,265.89x = 2,244,640.69
  5. Step 5: Solve for x
    x = 2,244,640.69/1,265.89
  6. Step 6: Final answer
    x = 1,773.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.