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Finding the Fourth Proportional to 1,604.60, 2,214.07 and 896.41

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Solution

The fourth proportional to 1,604.60, 2,214.07 and 896.41 is: 1,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.60 : 2,214.07 = 896.41 : x
  2. Step 2: Convert to fraction form
    1,604.60/2,214.07 = 896.41/x
  3. Step 3: Cross multiply
    1,604.60x = 2,214.07 × 896.41
  4. Step 4: Simplify right side
    1,604.60x = 1,984,706.71
  5. Step 5: Solve for x
    x = 1,984,706.71/1,604.60
  6. Step 6: Final answer
    x = 1,236.89

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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.