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Finding the Fourth Proportional to 1,589.82, 2,384.46 and 615.42

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Solution

The fourth proportional to 1,589.82, 2,384.46 and 615.42 is: 923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.82 : 2,384.46 = 615.42 : x
  2. Step 2: Convert to fraction form
    1,589.82/2,384.46 = 615.42/x
  3. Step 3: Cross multiply
    1,589.82x = 2,384.46 × 615.42
  4. Step 4: Simplify right side
    1,589.82x = 1,467,444.37
  5. Step 5: Solve for x
    x = 1,467,444.37/1,589.82
  6. Step 6: Final answer
    x = 923.03

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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.