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Finding the Fourth Proportional to 1,902.88, 2,626.32 and 1,314.16

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Solution

The fourth proportional to 1,902.88, 2,626.32 and 1,314.16 is: 1,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.88 : 2,626.32 = 1,314.16 : x
  2. Step 2: Convert to fraction form
    1,902.88/2,626.32 = 1,314.16/x
  3. Step 3: Cross multiply
    1,902.88x = 2,626.32 × 1,314.16
  4. Step 4: Simplify right side
    1,902.88x = 3,451,404.69
  5. Step 5: Solve for x
    x = 3,451,404.69/1,902.88
  6. Step 6: Final answer
    x = 1,813.78

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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.