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Finding the Fourth Proportional to 1,516.30, 2,274.80 and 638.31

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Solution

The fourth proportional to 1,516.30, 2,274.80 and 638.31 is: 957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.30 : 2,274.80 = 638.31 : x
  2. Step 2: Convert to fraction form
    1,516.30/2,274.80 = 638.31/x
  3. Step 3: Cross multiply
    1,516.30x = 2,274.80 × 638.31
  4. Step 4: Simplify right side
    1,516.30x = 1,452,027.59
  5. Step 5: Solve for x
    x = 1,452,027.59/1,516.30
  6. Step 6: Final answer
    x = 957.61

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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.