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Finding the Fourth Proportional to 2,635.46, 3,953.32 and 1,174.62

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Solution

The fourth proportional to 2,635.46, 3,953.32 and 1,174.62 is: 1,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.46 : 3,953.32 = 1,174.62 : x
  2. Step 2: Convert to fraction form
    2,635.46/3,953.32 = 1,174.62/x
  3. Step 3: Cross multiply
    2,635.46x = 3,953.32 × 1,174.62
  4. Step 4: Simplify right side
    2,635.46x = 4,643,648.74
  5. Step 5: Solve for x
    x = 4,643,648.74/2,635.46
  6. Step 6: Final answer
    x = 1,761.99

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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.