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Finding the Fourth Proportional to 1,652.33, 2,478.26 and 419.63

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Solution

The fourth proportional to 1,652.33, 2,478.26 and 419.63 is: 629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.33 : 2,478.26 = 419.63 : x
  2. Step 2: Convert to fraction form
    1,652.33/2,478.26 = 419.63/x
  3. Step 3: Cross multiply
    1,652.33x = 2,478.26 × 419.63
  4. Step 4: Simplify right side
    1,652.33x = 1,039,940.90
  5. Step 5: Solve for x
    x = 1,039,940.90/1,652.33
  6. Step 6: Final answer
    x = 629.38

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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.