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Finding the Fourth Proportional to 2,635.54, 3,636.56 and 1,516.06

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Solution

The fourth proportional to 2,635.54, 3,636.56 and 1,516.06 is: 2,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.54 : 3,636.56 = 1,516.06 : x
  2. Step 2: Convert to fraction form
    2,635.54/3,636.56 = 1,516.06/x
  3. Step 3: Cross multiply
    2,635.54x = 3,636.56 × 1,516.06
  4. Step 4: Simplify right side
    2,635.54x = 5,513,243.15
  5. Step 5: Solve for x
    x = 5,513,243.15/2,635.54
  6. Step 6: Final answer
    x = 2,091.88

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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.