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Finding the Fourth Proportional to 3,263.89, 4,896.10 and 923.90

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Solution

The fourth proportional to 3,263.89, 4,896.10 and 923.90 is: 1,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.89 : 4,896.10 = 923.90 : x
  2. Step 2: Convert to fraction form
    3,263.89/4,896.10 = 923.90/x
  3. Step 3: Cross multiply
    3,263.89x = 4,896.10 × 923.90
  4. Step 4: Simplify right side
    3,263.89x = 4,523,506.79
  5. Step 5: Solve for x
    x = 4,523,506.79/3,263.89
  6. Step 6: Final answer
    x = 1,385.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.