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Finding the Fourth Proportional to 2,516.87, 3,776.22 and 957.42

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Solution

The fourth proportional to 2,516.87, 3,776.22 and 957.42 is: 1,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.87 : 3,776.22 = 957.42 : x
  2. Step 2: Convert to fraction form
    2,516.87/3,776.22 = 957.42/x
  3. Step 3: Cross multiply
    2,516.87x = 3,776.22 × 957.42
  4. Step 4: Simplify right side
    2,516.87x = 3,615,428.55
  5. Step 5: Solve for x
    x = 3,615,428.55/2,516.87
  6. Step 6: Final answer
    x = 1,436.48

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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.