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Finding the Fourth Proportional to 3,428.56, 5,142.78 and 1,120

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Solution

The fourth proportional to 3,428.56, 5,142.78 and 1,120 is: 1,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.56 : 5,142.78 = 1,120 : x
  2. Step 2: Convert to fraction form
    3,428.56/5,142.78 = 1,120/x
  3. Step 3: Cross multiply
    3,428.56x = 5,142.78 × 1,120
  4. Step 4: Simplify right side
    3,428.56x = 5,759,913.60
  5. Step 5: Solve for x
    x = 5,759,913.60/3,428.56
  6. Step 6: Final answer
    x = 1,679.98

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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.