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Finding the Fourth Proportional to 1,299.62, 1,956.46 and 1,186.63

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Solution

The fourth proportional to 1,299.62, 1,956.46 and 1,186.63 is: 1,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.62 : 1,956.46 = 1,186.63 : x
  2. Step 2: Convert to fraction form
    1,299.62/1,956.46 = 1,186.63/x
  3. Step 3: Cross multiply
    1,299.62x = 1,956.46 × 1,186.63
  4. Step 4: Simplify right side
    1,299.62x = 2,321,586.27
  5. Step 5: Solve for x
    x = 2,321,586.27/1,299.62
  6. Step 6: Final answer
    x = 1,786.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.