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Finding the Fourth Proportional to 1,604.81, 2,213.81 and 1,046.21

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Solution

The fourth proportional to 1,604.81, 2,213.81 and 1,046.21 is: 1,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.81 : 2,213.81 = 1,046.21 : x
  2. Step 2: Convert to fraction form
    1,604.81/2,213.81 = 1,046.21/x
  3. Step 3: Cross multiply
    1,604.81x = 2,213.81 × 1,046.21
  4. Step 4: Simplify right side
    1,604.81x = 2,316,110.16
  5. Step 5: Solve for x
    x = 2,316,110.16/1,604.81
  6. Step 6: Final answer
    x = 1,443.23

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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.