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Finding the Fourth Proportional to 1,792.24, 2,682.90 and 1,442.32

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Solution

The fourth proportional to 1,792.24, 2,682.90 and 1,442.32 is: 2,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.24 : 2,682.90 = 1,442.32 : x
  2. Step 2: Convert to fraction form
    1,792.24/2,682.90 = 1,442.32/x
  3. Step 3: Cross multiply
    1,792.24x = 2,682.90 × 1,442.32
  4. Step 4: Simplify right side
    1,792.24x = 3,869,600.33
  5. Step 5: Solve for x
    x = 3,869,600.33/1,792.24
  6. Step 6: Final answer
    x = 2,159.09

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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.