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Finding the Fourth Proportional to 1,589.81, 2,383.68 and 616.01

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Solution

The fourth proportional to 1,589.81, 2,383.68 and 616.01 is: 923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.81 : 2,383.68 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,589.81/2,383.68 = 616.01/x
  3. Step 3: Cross multiply
    1,589.81x = 2,383.68 × 616.01
  4. Step 4: Simplify right side
    1,589.81x = 1,468,370.72
  5. Step 5: Solve for x
    x = 1,468,370.72/1,589.81
  6. Step 6: Final answer
    x = 923.61

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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.