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Finding the Fourth Proportional to 2,783.73, 4,180.37 and 2,472.08

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Solution

The fourth proportional to 2,783.73, 4,180.37 and 2,472.08 is: 3,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.73 : 4,180.37 = 2,472.08 : x
  2. Step 2: Convert to fraction form
    2,783.73/4,180.37 = 2,472.08/x
  3. Step 3: Cross multiply
    2,783.73x = 4,180.37 × 2,472.08
  4. Step 4: Simplify right side
    2,783.73x = 10,334,209.07
  5. Step 5: Solve for x
    x = 10,334,209.07/2,783.73
  6. Step 6: Final answer
    x = 3,712.36

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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.