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Finding the Fourth Proportional to 2,783.89, 4,180.02 and 2,650.14

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Solution

The fourth proportional to 2,783.89, 4,180.02 and 2,650.14 is: 3,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.89 : 4,180.02 = 2,650.14 : x
  2. Step 2: Convert to fraction form
    2,783.89/4,180.02 = 2,650.14/x
  3. Step 3: Cross multiply
    2,783.89x = 4,180.02 × 2,650.14
  4. Step 4: Simplify right side
    2,783.89x = 11,077,638.20
  5. Step 5: Solve for x
    x = 11,077,638.20/2,783.89
  6. Step 6: Final answer
    x = 3,979.19

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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.