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Finding the Fourth Proportional to 3,095.81, 4,644.14 and 1,635.06

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Solution

The fourth proportional to 3,095.81, 4,644.14 and 1,635.06 is: 2,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.81 : 4,644.14 = 1,635.06 : x
  2. Step 2: Convert to fraction form
    3,095.81/4,644.14 = 1,635.06/x
  3. Step 3: Cross multiply
    3,095.81x = 4,644.14 × 1,635.06
  4. Step 4: Simplify right side
    3,095.81x = 7,593,439.37
  5. Step 5: Solve for x
    x = 7,593,439.37/3,095.81
  6. Step 6: Final answer
    x = 2,452.82

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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.