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Finding the Fourth Proportional to 3,175.29, 4,763.43 and 983.57

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Solution

The fourth proportional to 3,175.29, 4,763.43 and 983.57 is: 1,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.29 : 4,763.43 = 983.57 : x
  2. Step 2: Convert to fraction form
    3,175.29/4,763.43 = 983.57/x
  3. Step 3: Cross multiply
    3,175.29x = 4,763.43 × 983.57
  4. Step 4: Simplify right side
    3,175.29x = 4,685,143.03
  5. Step 5: Solve for x
    x = 4,685,143.03/3,175.29
  6. Step 6: Final answer
    x = 1,475.50

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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.