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Finding the Fourth Proportional to 1,604.94, 2,402.18 and 863.49

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Solution

The fourth proportional to 1,604.94, 2,402.18 and 863.49 is: 1,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.94 : 2,402.18 = 863.49 : x
  2. Step 2: Convert to fraction form
    1,604.94/2,402.18 = 863.49/x
  3. Step 3: Cross multiply
    1,604.94x = 2,402.18 × 863.49
  4. Step 4: Simplify right side
    1,604.94x = 2,074,254.09
  5. Step 5: Solve for x
    x = 2,074,254.09/1,604.94
  6. Step 6: Final answer
    x = 1,292.42

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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.