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Finding the Fourth Proportional to 2,772.70, 4,156.89 and 1,385.34

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Solution

The fourth proportional to 2,772.70, 4,156.89 and 1,385.34 is: 2,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.70 : 4,156.89 = 1,385.34 : x
  2. Step 2: Convert to fraction form
    2,772.70/4,156.89 = 1,385.34/x
  3. Step 3: Cross multiply
    2,772.70x = 4,156.89 × 1,385.34
  4. Step 4: Simplify right side
    2,772.70x = 5,758,685.21
  5. Step 5: Solve for x
    x = 5,758,685.21/2,772.70
  6. Step 6: Final answer
    x = 2,076.93

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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.