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Finding the Fourth Proportional to 2,452.12, 3,674.12 and 1,711.96

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Solution

The fourth proportional to 2,452.12, 3,674.12 and 1,711.96 is: 2,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.12 : 3,674.12 = 1,711.96 : x
  2. Step 2: Convert to fraction form
    2,452.12/3,674.12 = 1,711.96/x
  3. Step 3: Cross multiply
    2,452.12x = 3,674.12 × 1,711.96
  4. Step 4: Simplify right side
    2,452.12x = 6,289,946.48
  5. Step 5: Solve for x
    x = 6,289,946.48/2,452.12
  6. Step 6: Final answer
    x = 2,565.11

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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.