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Finding the Fourth Proportional to 2,783.72, 4,177.60 and 2,242.44

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Solution

The fourth proportional to 2,783.72, 4,177.60 and 2,242.44 is: 3,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.72 : 4,177.60 = 2,242.44 : x
  2. Step 2: Convert to fraction form
    2,783.72/4,177.60 = 2,242.44/x
  3. Step 3: Cross multiply
    2,783.72x = 4,177.60 × 2,242.44
  4. Step 4: Simplify right side
    2,783.72x = 9,368,017.34
  5. Step 5: Solve for x
    x = 9,368,017.34/2,783.72
  6. Step 6: Final answer
    x = 3,365.29

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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.