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Finding the Fourth Proportional to 2,521.53, 3,785.84 and 1,289.82

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Solution

The fourth proportional to 2,521.53, 3,785.84 and 1,289.82 is: 1,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.53 : 3,785.84 = 1,289.82 : x
  2. Step 2: Convert to fraction form
    2,521.53/3,785.84 = 1,289.82/x
  3. Step 3: Cross multiply
    2,521.53x = 3,785.84 × 1,289.82
  4. Step 4: Simplify right side
    2,521.53x = 4,883,064.73
  5. Step 5: Solve for x
    x = 4,883,064.73/2,521.53
  6. Step 6: Final answer
    x = 1,936.55

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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.