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Finding the Fourth Proportional to 4,271.94, 6,402.96 and 1,805.94

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Solution

The fourth proportional to 4,271.94, 6,402.96 and 1,805.94 is: 2,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.94 : 6,402.96 = 1,805.94 : x
  2. Step 2: Convert to fraction form
    4,271.94/6,402.96 = 1,805.94/x
  3. Step 3: Cross multiply
    4,271.94x = 6,402.96 × 1,805.94
  4. Step 4: Simplify right side
    4,271.94x = 11,563,361.58
  5. Step 5: Solve for x
    x = 11,563,361.58/4,271.94
  6. Step 6: Final answer
    x = 2,706.82

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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.