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Finding the Fourth Proportional to 2,760.34, 4,140.40 and 911.40

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Solution

The fourth proportional to 2,760.34, 4,140.40 and 911.40 is: 1,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.34 : 4,140.40 = 911.40 : x
  2. Step 2: Convert to fraction form
    2,760.34/4,140.40 = 911.40/x
  3. Step 3: Cross multiply
    2,760.34x = 4,140.40 × 911.40
  4. Step 4: Simplify right side
    2,760.34x = 3,773,560.56
  5. Step 5: Solve for x
    x = 3,773,560.56/2,760.34
  6. Step 6: Final answer
    x = 1,367.06

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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.