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Finding the Fourth Proportional to 2,784.77, 3,843.03 and 1,525.80

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Solution

The fourth proportional to 2,784.77, 3,843.03 and 1,525.80 is: 2,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.77 : 3,843.03 = 1,525.80 : x
  2. Step 2: Convert to fraction form
    2,784.77/3,843.03 = 1,525.80/x
  3. Step 3: Cross multiply
    2,784.77x = 3,843.03 × 1,525.80
  4. Step 4: Simplify right side
    2,784.77x = 5,863,695.17
  5. Step 5: Solve for x
    x = 5,863,695.17/2,784.77
  6. Step 6: Final answer
    x = 2,105.63

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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.