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Finding the Fourth Proportional to 1,633.16, 2,449.38 and 593

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Solution

The fourth proportional to 1,633.16, 2,449.38 and 593 is: 889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.16 : 2,449.38 = 593 : x
  2. Step 2: Convert to fraction form
    1,633.16/2,449.38 = 593/x
  3. Step 3: Cross multiply
    1,633.16x = 2,449.38 × 593
  4. Step 4: Simplify right side
    1,633.16x = 1,452,482.34
  5. Step 5: Solve for x
    x = 1,452,482.34/1,633.16
  6. Step 6: Final answer
    x = 889.37

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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.