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Finding the Fourth Proportional to 2,634.57, 3,953.21 and 1,174.68

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Solution

The fourth proportional to 2,634.57, 3,953.21 and 1,174.68 is: 1,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.57 : 3,953.21 = 1,174.68 : x
  2. Step 2: Convert to fraction form
    2,634.57/3,953.21 = 1,174.68/x
  3. Step 3: Cross multiply
    2,634.57x = 3,953.21 × 1,174.68
  4. Step 4: Simplify right side
    2,634.57x = 4,643,750.85
  5. Step 5: Solve for x
    x = 4,643,750.85/2,634.57
  6. Step 6: Final answer
    x = 1,762.62

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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.