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Finding the Fourth Proportional to 1,902.26, 2,626.32 and 1,459.32

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Solution

The fourth proportional to 1,902.26, 2,626.32 and 1,459.32 is: 2,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.26 : 2,626.32 = 1,459.32 : x
  2. Step 2: Convert to fraction form
    1,902.26/2,626.32 = 1,459.32/x
  3. Step 3: Cross multiply
    1,902.26x = 2,626.32 × 1,459.32
  4. Step 4: Simplify right side
    1,902.26x = 3,832,641.30
  5. Step 5: Solve for x
    x = 3,832,641.30/1,902.26
  6. Step 6: Final answer
    x = 2,014.78

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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.