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Finding the Fourth Proportional to 1,652.42, 2,478.44 and 419.83

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Solution

The fourth proportional to 1,652.42, 2,478.44 and 419.83 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.42 : 2,478.44 = 419.83 : x
  2. Step 2: Convert to fraction form
    1,652.42/2,478.44 = 419.83/x
  3. Step 3: Cross multiply
    1,652.42x = 2,478.44 × 419.83
  4. Step 4: Simplify right side
    1,652.42x = 1,040,523.47
  5. Step 5: Solve for x
    x = 1,040,523.47/1,652.42
  6. Step 6: Final answer
    x = 629.70

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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.