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Finding the Fourth Proportional to 2,939.67, 4,056.49 and 1,680.54

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Solution

The fourth proportional to 2,939.67, 4,056.49 and 1,680.54 is: 2,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.67 : 4,056.49 = 1,680.54 : x
  2. Step 2: Convert to fraction form
    2,939.67/4,056.49 = 1,680.54/x
  3. Step 3: Cross multiply
    2,939.67x = 4,056.49 × 1,680.54
  4. Step 4: Simplify right side
    2,939.67x = 6,817,093.70
  5. Step 5: Solve for x
    x = 6,817,093.70/2,939.67
  6. Step 6: Final answer
    x = 2,319.00

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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.