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Finding the Fourth Proportional to 1,516.92, 2,274.98 and 1,076.88

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Solution

The fourth proportional to 1,516.92, 2,274.98 and 1,076.88 is: 1,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.92 : 2,274.98 = 1,076.88 : x
  2. Step 2: Convert to fraction form
    1,516.92/2,274.98 = 1,076.88/x
  3. Step 3: Cross multiply
    1,516.92x = 2,274.98 × 1,076.88
  4. Step 4: Simplify right side
    1,516.92x = 2,449,880.46
  5. Step 5: Solve for x
    x = 2,449,880.46/1,516.92
  6. Step 6: Final answer
    x = 1,615.04

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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.