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Finding the Fourth Proportional to 1,604.60, 2,214.33 and 905.98

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Solution

The fourth proportional to 1,604.60, 2,214.33 and 905.98 is: 1,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.60 : 2,214.33 = 905.98 : x
  2. Step 2: Convert to fraction form
    1,604.60/2,214.33 = 905.98/x
  3. Step 3: Cross multiply
    1,604.60x = 2,214.33 × 905.98
  4. Step 4: Simplify right side
    1,604.60x = 2,006,138.69
  5. Step 5: Solve for x
    x = 2,006,138.69/1,604.60
  6. Step 6: Final answer
    x = 1,250.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.