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Finding the Fourth Proportional to 1,589.08, 2,383.62 and 651.84

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Solution

The fourth proportional to 1,589.08, 2,383.62 and 651.84 is: 977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.08 : 2,383.62 = 651.84 : x
  2. Step 2: Convert to fraction form
    1,589.08/2,383.62 = 651.84/x
  3. Step 3: Cross multiply
    1,589.08x = 2,383.62 × 651.84
  4. Step 4: Simplify right side
    1,589.08x = 1,553,738.86
  5. Step 5: Solve for x
    x = 1,553,738.86/1,589.08
  6. Step 6: Final answer
    x = 977.76

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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.