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Finding the Fourth Proportional to 1,960.72, 2,706.96 and 1,742.04

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Solution

The fourth proportional to 1,960.72, 2,706.96 and 1,742.04 is: 2,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.72 : 2,706.96 = 1,742.04 : x
  2. Step 2: Convert to fraction form
    1,960.72/2,706.96 = 1,742.04/x
  3. Step 3: Cross multiply
    1,960.72x = 2,706.96 × 1,742.04
  4. Step 4: Simplify right side
    1,960.72x = 4,715,632.60
  5. Step 5: Solve for x
    x = 4,715,632.60/1,960.72
  6. Step 6: Final answer
    x = 2,405.05

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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.