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Finding the Fourth Proportional to 4,191.86, 6,287.18 and 1,270.40

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Solution

The fourth proportional to 4,191.86, 6,287.18 and 1,270.40 is: 1,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.86 : 6,287.18 = 1,270.40 : x
  2. Step 2: Convert to fraction form
    4,191.86/6,287.18 = 1,270.40/x
  3. Step 3: Cross multiply
    4,191.86x = 6,287.18 × 1,270.40
  4. Step 4: Simplify right side
    4,191.86x = 7,987,195.68
  5. Step 5: Solve for x
    x = 7,987,195.68/4,191.86
  6. Step 6: Final answer
    x = 1,905.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.