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Finding the Fourth Proportional to 2,923.14, 4,384.68 and 731.86

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Solution

The fourth proportional to 2,923.14, 4,384.68 and 731.86 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.14 : 4,384.68 = 731.86 : x
  2. Step 2: Convert to fraction form
    2,923.14/4,384.68 = 731.86/x
  3. Step 3: Cross multiply
    2,923.14x = 4,384.68 × 731.86
  4. Step 4: Simplify right side
    2,923.14x = 3,208,971.90
  5. Step 5: Solve for x
    x = 3,208,971.90/2,923.14
  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.