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Finding the Fourth Proportional to 1,304.43, 1,957.50 and 1,217.94

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Solution

The fourth proportional to 1,304.43, 1,957.50 and 1,217.94 is: 1,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.43 : 1,957.50 = 1,217.94 : x
  2. Step 2: Convert to fraction form
    1,304.43/1,957.50 = 1,217.94/x
  3. Step 3: Cross multiply
    1,304.43x = 1,957.50 × 1,217.94
  4. Step 4: Simplify right side
    1,304.43x = 2,384,117.55
  5. Step 5: Solve for x
    x = 2,384,117.55/1,304.43
  6. Step 6: Final answer
    x = 1,827.71

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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.