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Finding the Fourth Proportional to 3,023.57, 4,535.78 and 943.76

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Solution

The fourth proportional to 3,023.57, 4,535.78 and 943.76 is: 1,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.57 : 4,535.78 = 943.76 : x
  2. Step 2: Convert to fraction form
    3,023.57/4,535.78 = 943.76/x
  3. Step 3: Cross multiply
    3,023.57x = 4,535.78 × 943.76
  4. Step 4: Simplify right side
    3,023.57x = 4,280,660.34
  5. Step 5: Solve for x
    x = 4,280,660.34/3,023.57
  6. Step 6: Final answer
    x = 1,415.77

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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.