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Finding the Fourth Proportional to 1,589.52, 2,381.52 and 1,003.08

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Solution

The fourth proportional to 1,589.52, 2,381.52 and 1,003.08 is: 1,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.52 : 2,381.52 = 1,003.08 : x
  2. Step 2: Convert to fraction form
    1,589.52/2,381.52 = 1,003.08/x
  3. Step 3: Cross multiply
    1,589.52x = 2,381.52 × 1,003.08
  4. Step 4: Simplify right side
    1,589.52x = 2,388,855.08
  5. Step 5: Solve for x
    x = 2,388,855.08/1,589.52
  6. Step 6: Final answer
    x = 1,502.88

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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.