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Finding the Fourth Proportional to 4,243.51, 6,367.15 and 1,646.65

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Solution

The fourth proportional to 4,243.51, 6,367.15 and 1,646.65 is: 2,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.51 : 6,367.15 = 1,646.65 : x
  2. Step 2: Convert to fraction form
    4,243.51/6,367.15 = 1,646.65/x
  3. Step 3: Cross multiply
    4,243.51x = 6,367.15 × 1,646.65
  4. Step 4: Simplify right side
    4,243.51x = 10,484,467.55
  5. Step 5: Solve for x
    x = 10,484,467.55/4,243.51
  6. Step 6: Final answer
    x = 2,470.71

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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.