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Finding the Fourth Proportional to 2,961.65, 4,087.00 and 1,635.34

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Solution

The fourth proportional to 2,961.65, 4,087.00 and 1,635.34 is: 2,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.65 : 4,087.00 = 1,635.34 : x
  2. Step 2: Convert to fraction form
    2,961.65/4,087.00 = 1,635.34/x
  3. Step 3: Cross multiply
    2,961.65x = 4,087.00 × 1,635.34
  4. Step 4: Simplify right side
    2,961.65x = 6,683,620.27
  5. Step 5: Solve for x
    x = 6,683,620.27/2,961.65
  6. Step 6: Final answer
    x = 2,256.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.