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Finding the Fourth Proportional to 2,640.85, 3,957.56 and 2,053.16

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Solution

The fourth proportional to 2,640.85, 3,957.56 and 2,053.16 is: 3,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.85 : 3,957.56 = 2,053.16 : x
  2. Step 2: Convert to fraction form
    2,640.85/3,957.56 = 2,053.16/x
  3. Step 3: Cross multiply
    2,640.85x = 3,957.56 × 2,053.16
  4. Step 4: Simplify right side
    2,640.85x = 8,125,503.89
  5. Step 5: Solve for x
    x = 8,125,503.89/2,640.85
  6. Step 6: Final answer
    x = 3,076.85

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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.