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Finding the Fourth Proportional to 2,604.16, 3,901.84 and 1,576

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Solution

The fourth proportional to 2,604.16, 3,901.84 and 1,576 is: 2,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.16 : 3,901.84 = 1,576 : x
  2. Step 2: Convert to fraction form
    2,604.16/3,901.84 = 1,576/x
  3. Step 3: Cross multiply
    2,604.16x = 3,901.84 × 1,576
  4. Step 4: Simplify right side
    2,604.16x = 6,149,299.84
  5. Step 5: Solve for x
    x = 6,149,299.84/2,604.16
  6. Step 6: Final answer
    x = 2,361.34

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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.