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Finding the Fourth Proportional to 2,902.72, 4,007.58 and 2,155.80

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Solution

The fourth proportional to 2,902.72, 4,007.58 and 2,155.80 is: 2,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.72 : 4,007.58 = 2,155.80 : x
  2. Step 2: Convert to fraction form
    2,902.72/4,007.58 = 2,155.80/x
  3. Step 3: Cross multiply
    2,902.72x = 4,007.58 × 2,155.80
  4. Step 4: Simplify right side
    2,902.72x = 8,639,520.93
  5. Step 5: Solve for x
    x = 8,639,520.93/2,902.72
  6. Step 6: Final answer
    x = 2,976.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.