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Finding the Fourth Proportional to 2,701.86, 3,727.52 and 1,706.76

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Solution

The fourth proportional to 2,701.86, 3,727.52 and 1,706.76 is: 2,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.86 : 3,727.52 = 1,706.76 : x
  2. Step 2: Convert to fraction form
    2,701.86/3,727.52 = 1,706.76/x
  3. Step 3: Cross multiply
    2,701.86x = 3,727.52 × 1,706.76
  4. Step 4: Simplify right side
    2,701.86x = 6,361,982.04
  5. Step 5: Solve for x
    x = 6,361,982.04/2,701.86
  6. Step 6: Final answer
    x = 2,354.67

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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.