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Finding the Fourth Proportional to 3,022.68, 4,534.76 and 942.52

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Solution

The fourth proportional to 3,022.68, 4,534.76 and 942.52 is: 1,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.68 : 4,534.76 = 942.52 : x
  2. Step 2: Convert to fraction form
    3,022.68/4,534.76 = 942.52/x
  3. Step 3: Cross multiply
    3,022.68x = 4,534.76 × 942.52
  4. Step 4: Simplify right side
    3,022.68x = 4,274,102.00
  5. Step 5: Solve for x
    x = 4,274,102.00/3,022.68
  6. Step 6: Final answer
    x = 1,414.01

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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.