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Finding the Fourth Proportional to 4,243.74, 6,365.55 and 1,647.18

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Solution

The fourth proportional to 4,243.74, 6,365.55 and 1,647.18 is: 2,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.74 : 6,365.55 = 1,647.18 : x
  2. Step 2: Convert to fraction form
    4,243.74/6,365.55 = 1,647.18/x
  3. Step 3: Cross multiply
    4,243.74x = 6,365.55 × 1,647.18
  4. Step 4: Simplify right side
    4,243.74x = 10,485,206.65
  5. Step 5: Solve for x
    x = 10,485,206.65/4,243.74
  6. Step 6: Final answer
    x = 2,470.75

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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.