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Finding the Fourth Proportional to 2,562.45, 3,839.01 and 1,780.80

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Solution

The fourth proportional to 2,562.45, 3,839.01 and 1,780.80 is: 2,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.45 : 3,839.01 = 1,780.80 : x
  2. Step 2: Convert to fraction form
    2,562.45/3,839.01 = 1,780.80/x
  3. Step 3: Cross multiply
    2,562.45x = 3,839.01 × 1,780.80
  4. Step 4: Simplify right side
    2,562.45x = 6,836,509.01
  5. Step 5: Solve for x
    x = 6,836,509.01/2,562.45
  6. Step 6: Final answer
    x = 2,667.96

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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.