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Finding the Fourth Proportional to 2,783.67, 4,173.67 and 1,139.77

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Solution

The fourth proportional to 2,783.67, 4,173.67 and 1,139.77 is: 1,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.67 : 4,173.67 = 1,139.77 : x
  2. Step 2: Convert to fraction form
    2,783.67/4,173.67 = 1,139.77/x
  3. Step 3: Cross multiply
    2,783.67x = 4,173.67 × 1,139.77
  4. Step 4: Simplify right side
    2,783.67x = 4,757,023.86
  5. Step 5: Solve for x
    x = 4,757,023.86/2,783.67
  6. Step 6: Final answer
    x = 1,708.90

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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.