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Finding the Fourth Proportional to 1,589.65, 2,188.81 and 1,412.30

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Solution

The fourth proportional to 1,589.65, 2,188.81 and 1,412.30 is: 1,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.65 : 2,188.81 = 1,412.30 : x
  2. Step 2: Convert to fraction form
    1,589.65/2,188.81 = 1,412.30/x
  3. Step 3: Cross multiply
    1,589.65x = 2,188.81 × 1,412.30
  4. Step 4: Simplify right side
    1,589.65x = 3,091,267.57
  5. Step 5: Solve for x
    x = 3,091,267.57/1,589.65
  6. Step 6: Final answer
    x = 1,944.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.