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Finding the Fourth Proportional to 2,706.09, 3,736.68 and 1,713.12

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Solution

The fourth proportional to 2,706.09, 3,736.68 and 1,713.12 is: 2,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.09 : 3,736.68 = 1,713.12 : x
  2. Step 2: Convert to fraction form
    2,706.09/3,736.68 = 1,713.12/x
  3. Step 3: Cross multiply
    2,706.09x = 3,736.68 × 1,713.12
  4. Step 4: Simplify right side
    2,706.09x = 6,401,381.24
  5. Step 5: Solve for x
    x = 6,401,381.24/2,706.09
  6. Step 6: Final answer
    x = 2,365.55

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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.