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Finding the Fourth Proportional to 3,024.36, 4,534.90 and 943.46

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Solution

The fourth proportional to 3,024.36, 4,534.90 and 943.46 is: 1,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.36 : 4,534.90 = 943.46 : x
  2. Step 2: Convert to fraction form
    3,024.36/4,534.90 = 943.46/x
  3. Step 3: Cross multiply
    3,024.36x = 4,534.90 × 943.46
  4. Step 4: Simplify right side
    3,024.36x = 4,278,496.75
  5. Step 5: Solve for x
    x = 4,278,496.75/3,024.36
  6. Step 6: Final answer
    x = 1,414.68

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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.