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Finding the Fourth Proportional to 2,352.60, 3,525.96 and 2,059.44

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Solution

The fourth proportional to 2,352.60, 3,525.96 and 2,059.44 is: 3,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.60 : 3,525.96 = 2,059.44 : x
  2. Step 2: Convert to fraction form
    2,352.60/3,525.96 = 2,059.44/x
  3. Step 3: Cross multiply
    2,352.60x = 3,525.96 × 2,059.44
  4. Step 4: Simplify right side
    2,352.60x = 7,261,503.06
  5. Step 5: Solve for x
    x = 7,261,503.06/2,352.60
  6. Step 6: Final answer
    x = 3,086.59

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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.