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Finding the Fourth Proportional to 2,777.90, 4,162.74 and 1,216.46

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Solution

The fourth proportional to 2,777.90, 4,162.74 and 1,216.46 is: 1,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.90 : 4,162.74 = 1,216.46 : x
  2. Step 2: Convert to fraction form
    2,777.90/4,162.74 = 1,216.46/x
  3. Step 3: Cross multiply
    2,777.90x = 4,162.74 × 1,216.46
  4. Step 4: Simplify right side
    2,777.90x = 5,063,806.70
  5. Step 5: Solve for x
    x = 5,063,806.70/2,777.90
  6. Step 6: Final answer
    x = 1,822.89

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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.