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Finding the Fourth Proportional to 2,770.56, 4,152.24 and 1,126.20

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Solution

The fourth proportional to 2,770.56, 4,152.24 and 1,126.20 is: 1,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.56 : 4,152.24 = 1,126.20 : x
  2. Step 2: Convert to fraction form
    2,770.56/4,152.24 = 1,126.20/x
  3. Step 3: Cross multiply
    2,770.56x = 4,152.24 × 1,126.20
  4. Step 4: Simplify right side
    2,770.56x = 4,676,252.69
  5. Step 5: Solve for x
    x = 4,676,252.69/2,770.56
  6. Step 6: Final answer
    x = 1,687.84

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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.