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Finding the Fourth Proportional to 2,706.12, 3,734.94 and 2,263.32

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Solution

The fourth proportional to 2,706.12, 3,734.94 and 2,263.32 is: 3,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.12 : 3,734.94 = 2,263.32 : x
  2. Step 2: Convert to fraction form
    2,706.12/3,734.94 = 2,263.32/x
  3. Step 3: Cross multiply
    2,706.12x = 3,734.94 × 2,263.32
  4. Step 4: Simplify right side
    2,706.12x = 8,453,364.40
  5. Step 5: Solve for x
    x = 8,453,364.40/2,706.12
  6. Step 6: Final answer
    x = 3,123.80

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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.