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Finding the Fourth Proportional to 3,174.84, 4,761.45 and 1,228.41

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Solution

The fourth proportional to 3,174.84, 4,761.45 and 1,228.41 is: 1,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.84 : 4,761.45 = 1,228.41 : x
  2. Step 2: Convert to fraction form
    3,174.84/4,761.45 = 1,228.41/x
  3. Step 3: Cross multiply
    3,174.84x = 4,761.45 × 1,228.41
  4. Step 4: Simplify right side
    3,174.84x = 5,849,012.79
  5. Step 5: Solve for x
    x = 5,849,012.79/3,174.84
  6. Step 6: Final answer
    x = 1,842.30

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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.