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Finding the Fourth Proportional to 2,675.34, 4,011.48 and 1,287.54

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Solution

The fourth proportional to 2,675.34, 4,011.48 and 1,287.54 is: 1,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.34 : 4,011.48 = 1,287.54 : x
  2. Step 2: Convert to fraction form
    2,675.34/4,011.48 = 1,287.54/x
  3. Step 3: Cross multiply
    2,675.34x = 4,011.48 × 1,287.54
  4. Step 4: Simplify right side
    2,675.34x = 5,164,940.96
  5. Step 5: Solve for x
    x = 5,164,940.96/2,675.34
  6. Step 6: Final answer
    x = 1,930.57

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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.