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Finding the Fourth Proportional to 4,046.14, 6,069.48 and 1,580.80

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Solution

The fourth proportional to 4,046.14, 6,069.48 and 1,580.80 is: 2,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.14 : 6,069.48 = 1,580.80 : x
  2. Step 2: Convert to fraction form
    4,046.14/6,069.48 = 1,580.80/x
  3. Step 3: Cross multiply
    4,046.14x = 6,069.48 × 1,580.80
  4. Step 4: Simplify right side
    4,046.14x = 9,594,633.98
  5. Step 5: Solve for x
    x = 9,594,633.98/4,046.14
  6. Step 6: Final answer
    x = 2,371.31

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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.