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Finding the Fourth Proportional to 2,696.46, 4,044.67 and 2,202.32

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Solution

The fourth proportional to 2,696.46, 4,044.67 and 2,202.32 is: 3,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.46 : 4,044.67 = 2,202.32 : x
  2. Step 2: Convert to fraction form
    2,696.46/4,044.67 = 2,202.32/x
  3. Step 3: Cross multiply
    2,696.46x = 4,044.67 × 2,202.32
  4. Step 4: Simplify right side
    2,696.46x = 8,907,657.63
  5. Step 5: Solve for x
    x = 8,907,657.63/2,696.46
  6. Step 6: Final answer
    x = 3,303.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.