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Finding the Fourth Proportional to 4,164.34, 6,246.49 and 1,242.65

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Solution

The fourth proportional to 4,164.34, 6,246.49 and 1,242.65 is: 1,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.34 : 6,246.49 = 1,242.65 : x
  2. Step 2: Convert to fraction form
    4,164.34/6,246.49 = 1,242.65/x
  3. Step 3: Cross multiply
    4,164.34x = 6,246.49 × 1,242.65
  4. Step 4: Simplify right side
    4,164.34x = 7,762,200.80
  5. Step 5: Solve for x
    x = 7,762,200.80/4,164.34
  6. Step 6: Final answer
    x = 1,863.97

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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.