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Finding the Fourth Proportional to 2,352.42, 3,529.17 and 1,311.90

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Solution

The fourth proportional to 2,352.42, 3,529.17 and 1,311.90 is: 1,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.42 : 3,529.17 = 1,311.90 : x
  2. Step 2: Convert to fraction form
    2,352.42/3,529.17 = 1,311.90/x
  3. Step 3: Cross multiply
    2,352.42x = 3,529.17 × 1,311.90
  4. Step 4: Simplify right side
    2,352.42x = 4,629,918.12
  5. Step 5: Solve for x
    x = 4,629,918.12/2,352.42
  6. Step 6: Final answer
    x = 1,968.15

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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.