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Finding the Fourth Proportional to 2,706.63, 4,052.85 and 2,176.72

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Solution

The fourth proportional to 2,706.63, 4,052.85 and 2,176.72 is: 3,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.63 : 4,052.85 = 2,176.72 : x
  2. Step 2: Convert to fraction form
    2,706.63/4,052.85 = 2,176.72/x
  3. Step 3: Cross multiply
    2,706.63x = 4,052.85 × 2,176.72
  4. Step 4: Simplify right side
    2,706.63x = 8,821,919.65
  5. Step 5: Solve for x
    x = 8,821,919.65/2,706.63
  6. Step 6: Final answer
    x = 3,259.37

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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.