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Finding the Fourth Proportional to 3,131.60, 4,694.70 and 1,592.60

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Solution

The fourth proportional to 3,131.60, 4,694.70 and 1,592.60 is: 2,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.60 : 4,694.70 = 1,592.60 : x
  2. Step 2: Convert to fraction form
    3,131.60/4,694.70 = 1,592.60/x
  3. Step 3: Cross multiply
    3,131.60x = 4,694.70 × 1,592.60
  4. Step 4: Simplify right side
    3,131.60x = 7,476,779.22
  5. Step 5: Solve for x
    x = 7,476,779.22/3,131.60
  6. Step 6: Final answer
    x = 2,387.53

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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.