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Finding the Fourth Proportional to 3,011.94, 4,517.90 and 1,777.86

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Solution

The fourth proportional to 3,011.94, 4,517.90 and 1,777.86 is: 2,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.94 : 4,517.90 = 1,777.86 : x
  2. Step 2: Convert to fraction form
    3,011.94/4,517.90 = 1,777.86/x
  3. Step 3: Cross multiply
    3,011.94x = 4,517.90 × 1,777.86
  4. Step 4: Simplify right side
    3,011.94x = 8,032,184.80
  5. Step 5: Solve for x
    x = 8,032,184.80/3,011.94
  6. Step 6: Final answer
    x = 2,666.78

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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.