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Finding the Fourth Proportional to 2,533.31, 3,797.65 and 888.96

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Solution

The fourth proportional to 2,533.31, 3,797.65 and 888.96 is: 1,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.31 : 3,797.65 = 888.96 : x
  2. Step 2: Convert to fraction form
    2,533.31/3,797.65 = 888.96/x
  3. Step 3: Cross multiply
    2,533.31x = 3,797.65 × 888.96
  4. Step 4: Simplify right side
    2,533.31x = 3,375,954.50
  5. Step 5: Solve for x
    x = 3,375,954.50/2,533.31
  6. Step 6: Final answer
    x = 1,332.63

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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.