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Finding the Fourth Proportional to 2,162.94, 2,984.74 and 1,266.69

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Solution

The fourth proportional to 2,162.94, 2,984.74 and 1,266.69 is: 1,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.94 : 2,984.74 = 1,266.69 : x
  2. Step 2: Convert to fraction form
    2,162.94/2,984.74 = 1,266.69/x
  3. Step 3: Cross multiply
    2,162.94x = 2,984.74 × 1,266.69
  4. Step 4: Simplify right side
    2,162.94x = 3,780,740.31
  5. Step 5: Solve for x
    x = 3,780,740.31/2,162.94
  6. Step 6: Final answer
    x = 1,747.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.