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Finding the Fourth Proportional to 2,469.46, 3,703.09 and 929.38

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Solution

The fourth proportional to 2,469.46, 3,703.09 and 929.38 is: 1,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.46 : 3,703.09 = 929.38 : x
  2. Step 2: Convert to fraction form
    2,469.46/3,703.09 = 929.38/x
  3. Step 3: Cross multiply
    2,469.46x = 3,703.09 × 929.38
  4. Step 4: Simplify right side
    2,469.46x = 3,441,577.78
  5. Step 5: Solve for x
    x = 3,441,577.78/2,469.46
  6. Step 6: Final answer
    x = 1,393.66

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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.