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Finding the Fourth Proportional to 1,593.49, 2,390.22 and 899.85

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Solution

The fourth proportional to 1,593.49, 2,390.22 and 899.85 is: 1,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.49 : 2,390.22 = 899.85 : x
  2. Step 2: Convert to fraction form
    1,593.49/2,390.22 = 899.85/x
  3. Step 3: Cross multiply
    1,593.49x = 2,390.22 × 899.85
  4. Step 4: Simplify right side
    1,593.49x = 2,150,839.47
  5. Step 5: Solve for x
    x = 2,150,839.47/1,593.49
  6. Step 6: Final answer
    x = 1,349.77

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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.