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Finding the Fourth Proportional to 1,806.21, 2,489.82 and 1,412.55

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Solution

The fourth proportional to 1,806.21, 2,489.82 and 1,412.55 is: 1,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.21 : 2,489.82 = 1,412.55 : x
  2. Step 2: Convert to fraction form
    1,806.21/2,489.82 = 1,412.55/x
  3. Step 3: Cross multiply
    1,806.21x = 2,489.82 × 1,412.55
  4. Step 4: Simplify right side
    1,806.21x = 3,516,995.24
  5. Step 5: Solve for x
    x = 3,516,995.24/1,806.21
  6. Step 6: Final answer
    x = 1,947.17

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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.