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Finding the Fourth Proportional to 2,534.46, 3,801.69 and 1,845.51

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Solution

The fourth proportional to 2,534.46, 3,801.69 and 1,845.51 is: 2,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.46 : 3,801.69 = 1,845.51 : x
  2. Step 2: Convert to fraction form
    2,534.46/3,801.69 = 1,845.51/x
  3. Step 3: Cross multiply
    2,534.46x = 3,801.69 × 1,845.51
  4. Step 4: Simplify right side
    2,534.46x = 7,016,074.64
  5. Step 5: Solve for x
    x = 7,016,074.64/2,534.46
  6. Step 6: Final answer
    x = 2,768.27

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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.