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Finding the Fourth Proportional to 1,647.56, 2,471.82 and 780.68

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Solution

The fourth proportional to 1,647.56, 2,471.82 and 780.68 is: 1,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.56 : 2,471.82 = 780.68 : x
  2. Step 2: Convert to fraction form
    1,647.56/2,471.82 = 780.68/x
  3. Step 3: Cross multiply
    1,647.56x = 2,471.82 × 780.68
  4. Step 4: Simplify right side
    1,647.56x = 1,929,700.44
  5. Step 5: Solve for x
    x = 1,929,700.44/1,647.56
  6. Step 6: Final answer
    x = 1,171.25

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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.