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Finding the Fourth Proportional to 1,805.10, 2,489.72 and 1,380.68

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Solution

The fourth proportional to 1,805.10, 2,489.72 and 1,380.68 is: 1,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.10 : 2,489.72 = 1,380.68 : x
  2. Step 2: Convert to fraction form
    1,805.10/2,489.72 = 1,380.68/x
  3. Step 3: Cross multiply
    1,805.10x = 2,489.72 × 1,380.68
  4. Step 4: Simplify right side
    1,805.10x = 3,437,496.59
  5. Step 5: Solve for x
    x = 3,437,496.59/1,805.10
  6. Step 6: Final answer
    x = 1,904.33

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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.