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Finding the Fourth Proportional to 2,784.89, 3,843.01 and 1,525.95

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Solution

The fourth proportional to 2,784.89, 3,843.01 and 1,525.95 is: 2,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.89 : 3,843.01 = 1,525.95 : x
  2. Step 2: Convert to fraction form
    2,784.89/3,843.01 = 1,525.95/x
  3. Step 3: Cross multiply
    2,784.89x = 3,843.01 × 1,525.95
  4. Step 4: Simplify right side
    2,784.89x = 5,864,241.11
  5. Step 5: Solve for x
    x = 5,864,241.11/2,784.89
  6. Step 6: Final answer
    x = 2,105.74

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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.