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Finding the Fourth Proportional to 1,818.31, 2,732.08 and 1,160.50

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Solution

The fourth proportional to 1,818.31, 2,732.08 and 1,160.50 is: 1,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.31 : 2,732.08 = 1,160.50 : x
  2. Step 2: Convert to fraction form
    1,818.31/2,732.08 = 1,160.50/x
  3. Step 3: Cross multiply
    1,818.31x = 2,732.08 × 1,160.50
  4. Step 4: Simplify right side
    1,818.31x = 3,170,584.09
  5. Step 5: Solve for x
    x = 3,170,584.09/1,818.31
  6. Step 6: Final answer
    x = 1,743.70

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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.