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Finding the Fourth Proportional to 1,589.39, 2,384.36 and 493.86

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Solution

The fourth proportional to 1,589.39, 2,384.36 and 493.86 is: 740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.39 : 2,384.36 = 493.86 : x
  2. Step 2: Convert to fraction form
    1,589.39/2,384.36 = 493.86/x
  3. Step 3: Cross multiply
    1,589.39x = 2,384.36 × 493.86
  4. Step 4: Simplify right side
    1,589.39x = 1,177,537.56
  5. Step 5: Solve for x
    x = 1,177,537.56/1,589.39
  6. Step 6: Final answer
    x = 740.88

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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.