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Finding the Fourth Proportional to 3,023.10, 4,535.06 and 943.25

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Solution

The fourth proportional to 3,023.10, 4,535.06 and 943.25 is: 1,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.10 : 4,535.06 = 943.25 : x
  2. Step 2: Convert to fraction form
    3,023.10/4,535.06 = 943.25/x
  3. Step 3: Cross multiply
    3,023.10x = 4,535.06 × 943.25
  4. Step 4: Simplify right side
    3,023.10x = 4,277,667.95
  5. Step 5: Solve for x
    x = 4,277,667.95/3,023.10
  6. Step 6: Final answer
    x = 1,414.99

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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.