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Finding the Fourth Proportional to 1,516.56, 2,276.73 and 1,509.54

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Solution

The fourth proportional to 1,516.56, 2,276.73 and 1,509.54 is: 2,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.56 : 2,276.73 = 1,509.54 : x
  2. Step 2: Convert to fraction form
    1,516.56/2,276.73 = 1,509.54/x
  3. Step 3: Cross multiply
    1,516.56x = 2,276.73 × 1,509.54
  4. Step 4: Simplify right side
    1,516.56x = 3,436,815.00
  5. Step 5: Solve for x
    x = 3,436,815.00/1,516.56
  6. Step 6: Final answer
    x = 2,266.19

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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.