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Finding the Fourth Proportional to 2,138.42, 2,941.77 and 1,744.58

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Solution

The fourth proportional to 2,138.42, 2,941.77 and 1,744.58 is: 2,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.42 : 2,941.77 = 1,744.58 : x
  2. Step 2: Convert to fraction form
    2,138.42/2,941.77 = 1,744.58/x
  3. Step 3: Cross multiply
    2,138.42x = 2,941.77 × 1,744.58
  4. Step 4: Simplify right side
    2,138.42x = 5,132,153.11
  5. Step 5: Solve for x
    x = 5,132,153.11/2,138.42
  6. Step 6: Final answer
    x = 2,399.97

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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.