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Finding the Fourth Proportional to 2,635, 3,636.02 and 1,456.04

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Solution

The fourth proportional to 2,635, 3,636.02 and 1,456.04 is: 2,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635 : 3,636.02 = 1,456.04 : x
  2. Step 2: Convert to fraction form
    2,635/3,636.02 = 1,456.04/x
  3. Step 3: Cross multiply
    2,635x = 3,636.02 × 1,456.04
  4. Step 4: Simplify right side
    2,635x = 5,294,190.56
  5. Step 5: Solve for x
    x = 5,294,190.56/2,635
  6. Step 6: Final answer
    x = 2,009.18

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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.