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Finding the Fourth Proportional to 4,246.65, 6,367.50 and 1,646.55

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Solution

The fourth proportional to 4,246.65, 6,367.50 and 1,646.55 is: 2,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.65 : 6,367.50 = 1,646.55 : x
  2. Step 2: Convert to fraction form
    4,246.65/6,367.50 = 1,646.55/x
  3. Step 3: Cross multiply
    4,246.65x = 6,367.50 × 1,646.55
  4. Step 4: Simplify right side
    4,246.65x = 10,484,407.13
  5. Step 5: Solve for x
    x = 10,484,407.13/4,246.65
  6. Step 6: Final answer
    x = 2,468.87

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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.