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Finding the Fourth Proportional to 2,780.82, 3,837.51 and 1,521.90

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Solution

The fourth proportional to 2,780.82, 3,837.51 and 1,521.90 is: 2,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.82 : 3,837.51 = 1,521.90 : x
  2. Step 2: Convert to fraction form
    2,780.82/3,837.51 = 1,521.90/x
  3. Step 3: Cross multiply
    2,780.82x = 3,837.51 × 1,521.90
  4. Step 4: Simplify right side
    2,780.82x = 5,840,306.47
  5. Step 5: Solve for x
    x = 5,840,306.47/2,780.82
  6. Step 6: Final answer
    x = 2,100.21

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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.