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Finding the Fourth Proportional to 2,706.60, 3,736.85 and 2,210.43

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Solution

The fourth proportional to 2,706.60, 3,736.85 and 2,210.43 is: 3,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.60 : 3,736.85 = 2,210.43 : x
  2. Step 2: Convert to fraction form
    2,706.60/3,736.85 = 2,210.43/x
  3. Step 3: Cross multiply
    2,706.60x = 3,736.85 × 2,210.43
  4. Step 4: Simplify right side
    2,706.60x = 8,260,034.29
  5. Step 5: Solve for x
    x = 8,260,034.29/2,706.60
  6. Step 6: Final answer
    x = 3,051.81

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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.