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Finding the Fourth Proportional to 3,282.72, 4,923.44 and 974.24

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Solution

The fourth proportional to 3,282.72, 4,923.44 and 974.24 is: 1,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.72 : 4,923.44 = 974.24 : x
  2. Step 2: Convert to fraction form
    3,282.72/4,923.44 = 974.24/x
  3. Step 3: Cross multiply
    3,282.72x = 4,923.44 × 974.24
  4. Step 4: Simplify right side
    3,282.72x = 4,796,612.19
  5. Step 5: Solve for x
    x = 4,796,612.19/3,282.72
  6. Step 6: Final answer
    x = 1,461.17

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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.