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Finding the Fourth Proportional to 2,923.12, 4,384.68 and 731.85

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Solution

The fourth proportional to 2,923.12, 4,384.68 and 731.85 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.12 : 4,384.68 = 731.85 : x
  2. Step 2: Convert to fraction form
    2,923.12/4,384.68 = 731.85/x
  3. Step 3: Cross multiply
    2,923.12x = 4,384.68 × 731.85
  4. Step 4: Simplify right side
    2,923.12x = 3,208,928.06
  5. Step 5: Solve for x
    x = 3,208,928.06/2,923.12
  6. Step 6: Final answer
    x = 1,097.78

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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.