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Finding the Fourth Proportional to 1,827.54, 2,516.94 and 1,578.78

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Solution

The fourth proportional to 1,827.54, 2,516.94 and 1,578.78 is: 2,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.54 : 2,516.94 = 1,578.78 : x
  2. Step 2: Convert to fraction form
    1,827.54/2,516.94 = 1,578.78/x
  3. Step 3: Cross multiply
    1,827.54x = 2,516.94 × 1,578.78
  4. Step 4: Simplify right side
    1,827.54x = 3,973,694.53
  5. Step 5: Solve for x
    x = 3,973,694.53/1,827.54
  6. Step 6: Final answer
    x = 2,174.34

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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.