Home / 1,589.19-2,382.21-665.37

Finding the Fourth Proportional to 1,589.19, 2,382.21 and 665.37

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Solution

The fourth proportional to 1,589.19, 2,382.21 and 665.37 is: 997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.19 : 2,382.21 = 665.37 : x
  2. Step 2: Convert to fraction form
    1,589.19/2,382.21 = 665.37/x
  3. Step 3: Cross multiply
    1,589.19x = 2,382.21 × 665.37
  4. Step 4: Simplify right side
    1,589.19x = 1,585,051.07
  5. Step 5: Solve for x
    x = 1,585,051.07/1,589.19
  6. Step 6: Final answer
    x = 997.40

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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.