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Finding the Fourth Proportional to 2,977.14, 4,465.37 and 755.96

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Solution

The fourth proportional to 2,977.14, 4,465.37 and 755.96 is: 1,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.14 : 4,465.37 = 755.96 : x
  2. Step 2: Convert to fraction form
    2,977.14/4,465.37 = 755.96/x
  3. Step 3: Cross multiply
    2,977.14x = 4,465.37 × 755.96
  4. Step 4: Simplify right side
    2,977.14x = 3,375,654.16
  5. Step 5: Solve for x
    x = 3,375,654.16/2,977.14
  6. Step 6: Final answer
    x = 1,133.86

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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.