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Finding the Fourth Proportional to 2,940.68, 4,057.71 and 1,761.50

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Solution

The fourth proportional to 2,940.68, 4,057.71 and 1,761.50 is: 2,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.68 : 4,057.71 = 1,761.50 : x
  2. Step 2: Convert to fraction form
    2,940.68/4,057.71 = 1,761.50/x
  3. Step 3: Cross multiply
    2,940.68x = 4,057.71 × 1,761.50
  4. Step 4: Simplify right side
    2,940.68x = 7,147,656.17
  5. Step 5: Solve for x
    x = 7,147,656.17/2,940.68
  6. Step 6: Final answer
    x = 2,430.61

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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.