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Finding the Fourth Proportional to 4,076.92, 6,114.96 and 1,444

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Solution

The fourth proportional to 4,076.92, 6,114.96 and 1,444 is: 2,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.92 : 6,114.96 = 1,444 : x
  2. Step 2: Convert to fraction form
    4,076.92/6,114.96 = 1,444/x
  3. Step 3: Cross multiply
    4,076.92x = 6,114.96 × 1,444
  4. Step 4: Simplify right side
    4,076.92x = 8,830,002.24
  5. Step 5: Solve for x
    x = 8,830,002.24/4,076.92
  6. Step 6: Final answer
    x = 2,165.85

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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.