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Finding the Fourth Proportional to 1,924.98, 2,656.42 and 1,138.87

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Solution

The fourth proportional to 1,924.98, 2,656.42 and 1,138.87 is: 1,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.98 : 2,656.42 = 1,138.87 : x
  2. Step 2: Convert to fraction form
    1,924.98/2,656.42 = 1,138.87/x
  3. Step 3: Cross multiply
    1,924.98x = 2,656.42 × 1,138.87
  4. Step 4: Simplify right side
    1,924.98x = 3,025,317.05
  5. Step 5: Solve for x
    x = 3,025,317.05/1,924.98
  6. Step 6: Final answer
    x = 1,571.61

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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.