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Finding the Fourth Proportional to 2,911.65, 4,364.99 and 1,266.94

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Solution

The fourth proportional to 2,911.65, 4,364.99 and 1,266.94 is: 1,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.65 : 4,364.99 = 1,266.94 : x
  2. Step 2: Convert to fraction form
    2,911.65/4,364.99 = 1,266.94/x
  3. Step 3: Cross multiply
    2,911.65x = 4,364.99 × 1,266.94
  4. Step 4: Simplify right side
    2,911.65x = 5,530,184.30
  5. Step 5: Solve for x
    x = 5,530,184.30/2,911.65
  6. Step 6: Final answer
    x = 1,899.33

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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.