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Finding the Fourth Proportional to 4,259.32, 6,391.41 and 1,661.65

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Solution

The fourth proportional to 4,259.32, 6,391.41 and 1,661.65 is: 2,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.32 : 6,391.41 = 1,661.65 : x
  2. Step 2: Convert to fraction form
    4,259.32/6,391.41 = 1,661.65/x
  3. Step 3: Cross multiply
    4,259.32x = 6,391.41 × 1,661.65
  4. Step 4: Simplify right side
    4,259.32x = 10,620,246.16
  5. Step 5: Solve for x
    x = 10,620,246.16/4,259.32
  6. Step 6: Final answer
    x = 2,493.42

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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.