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Finding the Fourth Proportional to 2,776.76, 4,165.89 and 1,216.90

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Solution

The fourth proportional to 2,776.76, 4,165.89 and 1,216.90 is: 1,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.76 : 4,165.89 = 1,216.90 : x
  2. Step 2: Convert to fraction form
    2,776.76/4,165.89 = 1,216.90/x
  3. Step 3: Cross multiply
    2,776.76x = 4,165.89 × 1,216.90
  4. Step 4: Simplify right side
    2,776.76x = 5,069,471.54
  5. Step 5: Solve for x
    x = 5,069,471.54/2,776.76
  6. Step 6: Final answer
    x = 1,825.68

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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.