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Finding the Fourth Proportional to 2,411.96, 3,615.41 and 1,177.67

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Solution

The fourth proportional to 2,411.96, 3,615.41 and 1,177.67 is: 1,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.96 : 3,615.41 = 1,177.67 : x
  2. Step 2: Convert to fraction form
    2,411.96/3,615.41 = 1,177.67/x
  3. Step 3: Cross multiply
    2,411.96x = 3,615.41 × 1,177.67
  4. Step 4: Simplify right side
    2,411.96x = 4,257,735.93
  5. Step 5: Solve for x
    x = 4,257,735.93/2,411.96
  6. Step 6: Final answer
    x = 1,765.26

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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.