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Finding the Fourth Proportional to 3,023.21, 4,534.20 and 942.93

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Solution

The fourth proportional to 3,023.21, 4,534.20 and 942.93 is: 1,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.21 : 4,534.20 = 942.93 : x
  2. Step 2: Convert to fraction form
    3,023.21/4,534.20 = 942.93/x
  3. Step 3: Cross multiply
    3,023.21x = 4,534.20 × 942.93
  4. Step 4: Simplify right side
    3,023.21x = 4,275,433.21
  5. Step 5: Solve for x
    x = 4,275,433.21/3,023.21
  6. Step 6: Final answer
    x = 1,414.21

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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.