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Finding the Fourth Proportional to 2,790.69, 4,180.06 and 2,096.31

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Solution

The fourth proportional to 2,790.69, 4,180.06 and 2,096.31 is: 3,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.69 : 4,180.06 = 2,096.31 : x
  2. Step 2: Convert to fraction form
    2,790.69/4,180.06 = 2,096.31/x
  3. Step 3: Cross multiply
    2,790.69x = 4,180.06 × 2,096.31
  4. Step 4: Simplify right side
    2,790.69x = 8,762,701.58
  5. Step 5: Solve for x
    x = 8,762,701.58/2,790.69
  6. Step 6: Final answer
    x = 3,139.98

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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.