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Finding the Fourth Proportional to 3,472.10, 4,790.31 and 1,978.94

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Solution

The fourth proportional to 3,472.10, 4,790.31 and 1,978.94 is: 2,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.10 : 4,790.31 = 1,978.94 : x
  2. Step 2: Convert to fraction form
    3,472.10/4,790.31 = 1,978.94/x
  3. Step 3: Cross multiply
    3,472.10x = 4,790.31 × 1,978.94
  4. Step 4: Simplify right side
    3,472.10x = 9,479,713.68
  5. Step 5: Solve for x
    x = 9,479,713.68/3,472.10
  6. Step 6: Final answer
    x = 2,730.25

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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.