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Finding the Fourth Proportional to 1,589.65, 2,381.87 and 1,528.90

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Solution

The fourth proportional to 1,589.65, 2,381.87 and 1,528.90 is: 2,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.65 : 2,381.87 = 1,528.90 : x
  2. Step 2: Convert to fraction form
    1,589.65/2,381.87 = 1,528.90/x
  3. Step 3: Cross multiply
    1,589.65x = 2,381.87 × 1,528.90
  4. Step 4: Simplify right side
    1,589.65x = 3,641,633.40
  5. Step 5: Solve for x
    x = 3,641,633.40/1,589.65
  6. Step 6: Final answer
    x = 2,290.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.