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Finding the Fourth Proportional to 3,114.18, 4,669.18 and 1,238.83

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Solution

The fourth proportional to 3,114.18, 4,669.18 and 1,238.83 is: 1,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.18 : 4,669.18 = 1,238.83 : x
  2. Step 2: Convert to fraction form
    3,114.18/4,669.18 = 1,238.83/x
  3. Step 3: Cross multiply
    3,114.18x = 4,669.18 × 1,238.83
  4. Step 4: Simplify right side
    3,114.18x = 5,784,305.49
  5. Step 5: Solve for x
    x = 5,784,305.49/3,114.18
  6. Step 6: Final answer
    x = 1,857.41

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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.