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Finding the Fourth Proportional to 2,407.66, 3,611.62 and 676.42

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Solution

The fourth proportional to 2,407.66, 3,611.62 and 676.42 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.66 : 3,611.62 = 676.42 : x
  2. Step 2: Convert to fraction form
    2,407.66/3,611.62 = 676.42/x
  3. Step 3: Cross multiply
    2,407.66x = 3,611.62 × 676.42
  4. Step 4: Simplify right side
    2,407.66x = 2,442,972.00
  5. Step 5: Solve for x
    x = 2,442,972.00/2,407.66
  6. Step 6: Final answer
    x = 1,014.67

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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.