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Finding the Fourth Proportional to 2,132.52, 3,200.01 and 899.85

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Solution

The fourth proportional to 2,132.52, 3,200.01 and 899.85 is: 1,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.52 : 3,200.01 = 899.85 : x
  2. Step 2: Convert to fraction form
    2,132.52/3,200.01 = 899.85/x
  3. Step 3: Cross multiply
    2,132.52x = 3,200.01 × 899.85
  4. Step 4: Simplify right side
    2,132.52x = 2,879,529.00
  5. Step 5: Solve for x
    x = 2,879,529.00/2,132.52
  6. Step 6: Final answer
    x = 1,350.29

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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.