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Finding the Fourth Proportional to 2,723.42, 3,758.00 and 1,544.27

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Solution

The fourth proportional to 2,723.42, 3,758.00 and 1,544.27 is: 2,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.42 : 3,758.00 = 1,544.27 : x
  2. Step 2: Convert to fraction form
    2,723.42/3,758.00 = 1,544.27/x
  3. Step 3: Cross multiply
    2,723.42x = 3,758.00 × 1,544.27
  4. Step 4: Simplify right side
    2,723.42x = 5,803,340.15
  5. Step 5: Solve for x
    x = 5,803,340.15/2,723.42
  6. Step 6: Final answer
    x = 2,130.90

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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.