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Finding the Fourth Proportional to 3,249.46, 4,484.64 and 1,923.17

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Solution

The fourth proportional to 3,249.46, 4,484.64 and 1,923.17 is: 2,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.46 : 4,484.64 = 1,923.17 : x
  2. Step 2: Convert to fraction form
    3,249.46/4,484.64 = 1,923.17/x
  3. Step 3: Cross multiply
    3,249.46x = 4,484.64 × 1,923.17
  4. Step 4: Simplify right side
    3,249.46x = 8,624,725.11
  5. Step 5: Solve for x
    x = 8,624,725.11/3,249.46
  6. Step 6: Final answer
    x = 2,654.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.