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Finding the Fourth Proportional to 2,516.48, 3,787.94 and 2,295

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Solution

The fourth proportional to 2,516.48, 3,787.94 and 2,295 is: 3,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.48 : 3,787.94 = 2,295 : x
  2. Step 2: Convert to fraction form
    2,516.48/3,787.94 = 2,295/x
  3. Step 3: Cross multiply
    2,516.48x = 3,787.94 × 2,295
  4. Step 4: Simplify right side
    2,516.48x = 8,693,322.30
  5. Step 5: Solve for x
    x = 8,693,322.30/2,516.48
  6. Step 6: Final answer
    x = 3,454.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.