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Finding the Fourth Proportional to 2,521.73, 3,780.47 and 1,204.74

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Solution

The fourth proportional to 2,521.73, 3,780.47 and 1,204.74 is: 1,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.73 : 3,780.47 = 1,204.74 : x
  2. Step 2: Convert to fraction form
    2,521.73/3,780.47 = 1,204.74/x
  3. Step 3: Cross multiply
    2,521.73x = 3,780.47 × 1,204.74
  4. Step 4: Simplify right side
    2,521.73x = 4,554,486.44
  5. Step 5: Solve for x
    x = 4,554,486.44/2,521.73
  6. Step 6: Final answer
    x = 1,806.09

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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.