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Finding the Fourth Proportional to 1,792.30, 2,691.65 and 1,305.90

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Solution

The fourth proportional to 1,792.30, 2,691.65 and 1,305.90 is: 1,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.30 : 2,691.65 = 1,305.90 : x
  2. Step 2: Convert to fraction form
    1,792.30/2,691.65 = 1,305.90/x
  3. Step 3: Cross multiply
    1,792.30x = 2,691.65 × 1,305.90
  4. Step 4: Simplify right side
    1,792.30x = 3,515,025.74
  5. Step 5: Solve for x
    x = 3,515,025.74/1,792.30
  6. Step 6: Final answer
    x = 1,961.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.