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Finding the Fourth Proportional to 1,806.90, 2,494.68 and 1,476.12

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Solution

The fourth proportional to 1,806.90, 2,494.68 and 1,476.12 is: 2,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.90 : 2,494.68 = 1,476.12 : x
  2. Step 2: Convert to fraction form
    1,806.90/2,494.68 = 1,476.12/x
  3. Step 3: Cross multiply
    1,806.90x = 2,494.68 × 1,476.12
  4. Step 4: Simplify right side
    1,806.90x = 3,682,447.04
  5. Step 5: Solve for x
    x = 3,682,447.04/1,806.90
  6. Step 6: Final answer
    x = 2,037.99

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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.