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Finding the Fourth Proportional to 2,548.60, 3,822.78 and 1,933.42

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Solution

The fourth proportional to 2,548.60, 3,822.78 and 1,933.42 is: 2,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.60 : 3,822.78 = 1,933.42 : x
  2. Step 2: Convert to fraction form
    2,548.60/3,822.78 = 1,933.42/x
  3. Step 3: Cross multiply
    2,548.60x = 3,822.78 × 1,933.42
  4. Step 4: Simplify right side
    2,548.60x = 7,391,039.31
  5. Step 5: Solve for x
    x = 7,391,039.31/2,548.60
  6. Step 6: Final answer
    x = 2,900.04

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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.