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Finding the Fourth Proportional to 2,018.21, 3,028.72 and 785.63

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Solution

The fourth proportional to 2,018.21, 3,028.72 and 785.63 is: 1,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.21 : 3,028.72 = 785.63 : x
  2. Step 2: Convert to fraction form
    2,018.21/3,028.72 = 785.63/x
  3. Step 3: Cross multiply
    2,018.21x = 3,028.72 × 785.63
  4. Step 4: Simplify right side
    2,018.21x = 2,379,458.90
  5. Step 5: Solve for x
    x = 2,379,458.90/2,018.21
  6. Step 6: Final answer
    x = 1,178.99

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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.