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Finding the Fourth Proportional to 1,641.68, 2,462.94 and 602.27

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Solution

The fourth proportional to 1,641.68, 2,462.94 and 602.27 is: 903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.68 : 2,462.94 = 602.27 : x
  2. Step 2: Convert to fraction form
    1,641.68/2,462.94 = 602.27/x
  3. Step 3: Cross multiply
    1,641.68x = 2,462.94 × 602.27
  4. Step 4: Simplify right side
    1,641.68x = 1,483,342.56
  5. Step 5: Solve for x
    x = 1,483,342.56/1,641.68
  6. Step 6: Final answer
    x = 903.55

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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.