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Finding the Fourth Proportional to 4,206.95, 6,311.19 and 1,740.43

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Solution

The fourth proportional to 4,206.95, 6,311.19 and 1,740.43 is: 2,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.95 : 6,311.19 = 1,740.43 : x
  2. Step 2: Convert to fraction form
    4,206.95/6,311.19 = 1,740.43/x
  3. Step 3: Cross multiply
    4,206.95x = 6,311.19 × 1,740.43
  4. Step 4: Simplify right side
    4,206.95x = 10,984,184.41
  5. Step 5: Solve for x
    x = 10,984,184.41/4,206.95
  6. Step 6: Final answer
    x = 2,610.96

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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.