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Finding the Fourth Proportional to 1,604.88, 2,395.79 and 1,533.96

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Solution

The fourth proportional to 1,604.88, 2,395.79 and 1,533.96 is: 2,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.88 : 2,395.79 = 1,533.96 : x
  2. Step 2: Convert to fraction form
    1,604.88/2,395.79 = 1,533.96/x
  3. Step 3: Cross multiply
    1,604.88x = 2,395.79 × 1,533.96
  4. Step 4: Simplify right side
    1,604.88x = 3,675,046.03
  5. Step 5: Solve for x
    x = 3,675,046.03/1,604.88
  6. Step 6: Final answer
    x = 2,289.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.