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Finding the Fourth Proportional to 1,516.54, 2,273.83 and 639.61

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Solution

The fourth proportional to 1,516.54, 2,273.83 and 639.61 is: 959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.54 : 2,273.83 = 639.61 : x
  2. Step 2: Convert to fraction form
    1,516.54/2,273.83 = 639.61/x
  3. Step 3: Cross multiply
    1,516.54x = 2,273.83 × 639.61
  4. Step 4: Simplify right side
    1,516.54x = 1,454,364.41
  5. Step 5: Solve for x
    x = 1,454,364.41/1,516.54
  6. Step 6: Final answer
    x = 959.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.