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Finding the Fourth Proportional to 2,406.42, 3,609.86 and 675.04

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Solution

The fourth proportional to 2,406.42, 3,609.86 and 675.04 is: 1,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.42 : 3,609.86 = 675.04 : x
  2. Step 2: Convert to fraction form
    2,406.42/3,609.86 = 675.04/x
  3. Step 3: Cross multiply
    2,406.42x = 3,609.86 × 675.04
  4. Step 4: Simplify right side
    2,406.42x = 2,436,799.89
  5. Step 5: Solve for x
    x = 2,436,799.89/2,406.42
  6. Step 6: Final answer
    x = 1,012.62

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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.