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Finding the Fourth Proportional to 1,286.79, 1,913.63 and 1,245.78

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Solution

The fourth proportional to 1,286.79, 1,913.63 and 1,245.78 is: 1,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.79 : 1,913.63 = 1,245.78 : x
  2. Step 2: Convert to fraction form
    1,286.79/1,913.63 = 1,245.78/x
  3. Step 3: Cross multiply
    1,286.79x = 1,913.63 × 1,245.78
  4. Step 4: Simplify right side
    1,286.79x = 2,383,955.75
  5. Step 5: Solve for x
    x = 2,383,955.75/1,286.79
  6. Step 6: Final answer
    x = 1,852.64

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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.