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Finding the Fourth Proportional to 2,782.52, 3,836.62 and 2,221.19

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Solution

The fourth proportional to 2,782.52, 3,836.62 and 2,221.19 is: 3,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.52 : 3,836.62 = 2,221.19 : x
  2. Step 2: Convert to fraction form
    2,782.52/3,836.62 = 2,221.19/x
  3. Step 3: Cross multiply
    2,782.52x = 3,836.62 × 2,221.19
  4. Step 4: Simplify right side
    2,782.52x = 8,521,877.12
  5. Step 5: Solve for x
    x = 8,521,877.12/2,782.52
  6. Step 6: Final answer
    x = 3,062.64

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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.