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Finding the Fourth Proportional to 1,593.62, 2,389.84 and 553.36

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Solution

The fourth proportional to 1,593.62, 2,389.84 and 553.36 is: 829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.62 : 2,389.84 = 553.36 : x
  2. Step 2: Convert to fraction form
    1,593.62/2,389.84 = 553.36/x
  3. Step 3: Cross multiply
    1,593.62x = 2,389.84 × 553.36
  4. Step 4: Simplify right side
    1,593.62x = 1,322,441.86
  5. Step 5: Solve for x
    x = 1,322,441.86/1,593.62
  6. Step 6: Final answer
    x = 829.84

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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.