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Finding the Fourth Proportional to 2,771.84, 4,158.72 and 1,474.24

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Solution

The fourth proportional to 2,771.84, 4,158.72 and 1,474.24 is: 2,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.84 : 4,158.72 = 1,474.24 : x
  2. Step 2: Convert to fraction form
    2,771.84/4,158.72 = 1,474.24/x
  3. Step 3: Cross multiply
    2,771.84x = 4,158.72 × 1,474.24
  4. Step 4: Simplify right side
    2,771.84x = 6,130,951.37
  5. Step 5: Solve for x
    x = 6,130,951.37/2,771.84
  6. Step 6: Final answer
    x = 2,211.87

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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.