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Finding the Fourth Proportional to 3,263.45, 4,895.18 and 923.48

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Solution

The fourth proportional to 3,263.45, 4,895.18 and 923.48 is: 1,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.45 : 4,895.18 = 923.48 : x
  2. Step 2: Convert to fraction form
    3,263.45/4,895.18 = 923.48/x
  3. Step 3: Cross multiply
    3,263.45x = 4,895.18 × 923.48
  4. Step 4: Simplify right side
    3,263.45x = 4,520,571.73
  5. Step 5: Solve for x
    x = 4,520,571.73/3,263.45
  6. Step 6: Final answer
    x = 1,385.21

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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.