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Finding the Fourth Proportional to 1,632.83, 2,449.99 and 593.02

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Solution

The fourth proportional to 1,632.83, 2,449.99 and 593.02 is: 889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.83 : 2,449.99 = 593.02 : x
  2. Step 2: Convert to fraction form
    1,632.83/2,449.99 = 593.02/x
  3. Step 3: Cross multiply
    1,632.83x = 2,449.99 × 593.02
  4. Step 4: Simplify right side
    1,632.83x = 1,452,896.87
  5. Step 5: Solve for x
    x = 1,452,896.87/1,632.83
  6. Step 6: Final answer
    x = 889.81

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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.