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Finding the Fourth Proportional to 2,783.67, 4,177.22 and 1,140.23

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Solution

The fourth proportional to 2,783.67, 4,177.22 and 1,140.23 is: 1,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.67 : 4,177.22 = 1,140.23 : x
  2. Step 2: Convert to fraction form
    2,783.67/4,177.22 = 1,140.23/x
  3. Step 3: Cross multiply
    2,783.67x = 4,177.22 × 1,140.23
  4. Step 4: Simplify right side
    2,783.67x = 4,762,991.56
  5. Step 5: Solve for x
    x = 4,762,991.56/2,783.67
  6. Step 6: Final answer
    x = 1,711.05

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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.