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Finding the Fourth Proportional to 4,694.60, 7,043.31 and 1,407.80

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Solution

The fourth proportional to 4,694.60, 7,043.31 and 1,407.80 is: 2,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.60 : 7,043.31 = 1,407.80 : x
  2. Step 2: Convert to fraction form
    4,694.60/7,043.31 = 1,407.80/x
  3. Step 3: Cross multiply
    4,694.60x = 7,043.31 × 1,407.80
  4. Step 4: Simplify right side
    4,694.60x = 9,915,571.82
  5. Step 5: Solve for x
    x = 9,915,571.82/4,694.60
  6. Step 6: Final answer
    x = 2,112.12

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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.