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Finding the Fourth Proportional to 2,770.56, 4,153.07 and 1,014.14

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Solution

The fourth proportional to 2,770.56, 4,153.07 and 1,014.14 is: 1,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.56 : 4,153.07 = 1,014.14 : x
  2. Step 2: Convert to fraction form
    2,770.56/4,153.07 = 1,014.14/x
  3. Step 3: Cross multiply
    2,770.56x = 4,153.07 × 1,014.14
  4. Step 4: Simplify right side
    2,770.56x = 4,211,807.33
  5. Step 5: Solve for x
    x = 4,211,807.33/2,770.56
  6. Step 6: Final answer
    x = 1,520.20

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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.