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Finding the Fourth Proportional to 2,576.94, 3,868.02 and 1,605.48

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Solution

The fourth proportional to 2,576.94, 3,868.02 and 1,605.48 is: 2,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.94 : 3,868.02 = 1,605.48 : x
  2. Step 2: Convert to fraction form
    2,576.94/3,868.02 = 1,605.48/x
  3. Step 3: Cross multiply
    2,576.94x = 3,868.02 × 1,605.48
  4. Step 4: Simplify right side
    2,576.94x = 6,210,028.75
  5. Step 5: Solve for x
    x = 6,210,028.75/2,576.94
  6. Step 6: Final answer
    x = 2,409.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.