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Finding the Fourth Proportional to 1,924.64, 2,656.69 and 1,138.69

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Solution

The fourth proportional to 1,924.64, 2,656.69 and 1,138.69 is: 1,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.64 : 2,656.69 = 1,138.69 : x
  2. Step 2: Convert to fraction form
    1,924.64/2,656.69 = 1,138.69/x
  3. Step 3: Cross multiply
    1,924.64x = 2,656.69 × 1,138.69
  4. Step 4: Simplify right side
    1,924.64x = 3,025,136.85
  5. Step 5: Solve for x
    x = 3,025,136.85/1,924.64
  6. Step 6: Final answer
    x = 1,571.79

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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.