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Finding the Fourth Proportional to 4,114.86, 6,170.40 and 1,647.60

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Solution

The fourth proportional to 4,114.86, 6,170.40 and 1,647.60 is: 2,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.86 : 6,170.40 = 1,647.60 : x
  2. Step 2: Convert to fraction form
    4,114.86/6,170.40 = 1,647.60/x
  3. Step 3: Cross multiply
    4,114.86x = 6,170.40 × 1,647.60
  4. Step 4: Simplify right side
    4,114.86x = 10,166,351.04
  5. Step 5: Solve for x
    x = 10,166,351.04/4,114.86
  6. Step 6: Final answer
    x = 2,470.64

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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.