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Finding the Fourth Proportional to 3,462.44, 4,777.90 and 1,890.50

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Solution

The fourth proportional to 3,462.44, 4,777.90 and 1,890.50 is: 2,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.44 : 4,777.90 = 1,890.50 : x
  2. Step 2: Convert to fraction form
    3,462.44/4,777.90 = 1,890.50/x
  3. Step 3: Cross multiply
    3,462.44x = 4,777.90 × 1,890.50
  4. Step 4: Simplify right side
    3,462.44x = 9,032,619.95
  5. Step 5: Solve for x
    x = 9,032,619.95/3,462.44
  6. Step 6: Final answer
    x = 2,608.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.