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Finding the Fourth Proportional to 2,783.73, 4,175.60 and 1,139.90

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Solution

The fourth proportional to 2,783.73, 4,175.60 and 1,139.90 is: 1,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.73 : 4,175.60 = 1,139.90 : x
  2. Step 2: Convert to fraction form
    2,783.73/4,175.60 = 1,139.90/x
  3. Step 3: Cross multiply
    2,783.73x = 4,175.60 × 1,139.90
  4. Step 4: Simplify right side
    2,783.73x = 4,759,771.18
  5. Step 5: Solve for x
    x = 4,759,771.18/2,783.73
  6. Step 6: Final answer
    x = 1,709.85

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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.