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Finding the Fourth Proportional to 2,811.66, 3,851.96 and 2,706.52

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Solution

The fourth proportional to 2,811.66, 3,851.96 and 2,706.52 is: 3,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.66 : 3,851.96 = 2,706.52 : x
  2. Step 2: Convert to fraction form
    2,811.66/3,851.96 = 2,706.52/x
  3. Step 3: Cross multiply
    2,811.66x = 3,851.96 × 2,706.52
  4. Step 4: Simplify right side
    2,811.66x = 10,425,401.67
  5. Step 5: Solve for x
    x = 10,425,401.67/2,811.66
  6. Step 6: Final answer
    x = 3,707.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.