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Finding the Fourth Proportional to 2,771.66, 4,154 and 1,385.38

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Solution

The fourth proportional to 2,771.66, 4,154 and 1,385.38 is: 2,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.66 : 4,154 = 1,385.38 : x
  2. Step 2: Convert to fraction form
    2,771.66/4,154 = 1,385.38/x
  3. Step 3: Cross multiply
    2,771.66x = 4,154 × 1,385.38
  4. Step 4: Simplify right side
    2,771.66x = 5,754,847.75
  5. Step 5: Solve for x
    x = 5,754,847.75/2,771.66
  6. Step 6: Final answer
    x = 2,076.32

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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.