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Finding the Fourth Proportional to 1,241.71, 1,861.41 and 419.41

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Solution

The fourth proportional to 1,241.71, 1,861.41 and 419.41 is: 628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.71 : 1,861.41 = 419.41 : x
  2. Step 2: Convert to fraction form
    1,241.71/1,861.41 = 419.41/x
  3. Step 3: Cross multiply
    1,241.71x = 1,861.41 × 419.41
  4. Step 4: Simplify right side
    1,241.71x = 780,693.48
  5. Step 5: Solve for x
    x = 780,693.48/1,241.71
  6. Step 6: Final answer
    x = 628.72

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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.