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Finding the Fourth Proportional to 2,018.46, 2,786.41 and 1,355.77

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Solution

The fourth proportional to 2,018.46, 2,786.41 and 1,355.77 is: 1,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.46 : 2,786.41 = 1,355.77 : x
  2. Step 2: Convert to fraction form
    2,018.46/2,786.41 = 1,355.77/x
  3. Step 3: Cross multiply
    2,018.46x = 2,786.41 × 1,355.77
  4. Step 4: Simplify right side
    2,018.46x = 3,777,731.09
  5. Step 5: Solve for x
    x = 3,777,731.09/2,018.46
  6. Step 6: Final answer
    x = 1,871.59

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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.