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Finding the Fourth Proportional to 2,982.94, 4,473.42 and 1,034.68

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Solution

The fourth proportional to 2,982.94, 4,473.42 and 1,034.68 is: 1,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.94 : 4,473.42 = 1,034.68 : x
  2. Step 2: Convert to fraction form
    2,982.94/4,473.42 = 1,034.68/x
  3. Step 3: Cross multiply
    2,982.94x = 4,473.42 × 1,034.68
  4. Step 4: Simplify right side
    2,982.94x = 4,628,558.21
  5. Step 5: Solve for x
    x = 4,628,558.21/2,982.94
  6. Step 6: Final answer
    x = 1,551.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.