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Finding the Fourth Proportional to 2,676.96, 4,014.44 and 921.47

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Solution

The fourth proportional to 2,676.96, 4,014.44 and 921.47 is: 1,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.96 : 4,014.44 = 921.47 : x
  2. Step 2: Convert to fraction form
    2,676.96/4,014.44 = 921.47/x
  3. Step 3: Cross multiply
    2,676.96x = 4,014.44 × 921.47
  4. Step 4: Simplify right side
    2,676.96x = 3,699,171.38
  5. Step 5: Solve for x
    x = 3,699,171.38/2,676.96
  6. Step 6: Final answer
    x = 1,381.86

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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.